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Finding the Fourth Proportional to 620.75, 856.64 and 344.75

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Solution

The fourth proportional to 620.75, 856.64 and 344.75 is: 475.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.75 : 856.64 = 344.75 : x
  2. Step 2: Convert to fraction form
    620.75/856.64 = 344.75/x
  3. Step 3: Cross multiply
    620.75x = 856.64 × 344.75
  4. Step 4: Simplify right side
    620.75x = 295,324.92
  5. Step 5: Solve for x
    x = 295,324.92/620.75
  6. Step 6: Final answer
    x = 475.76

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Find fourth proportional to 310.38, 428.32 and 172.38
Half scale
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Double scale
Find fourth proportional to 621.75, 858.02 and 345.75
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.