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Finding the Fourth Proportional to 620.76, 856.98 and 411.24

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Solution

The fourth proportional to 620.76, 856.98 and 411.24 is: 567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.76 : 856.98 = 411.24 : x
  2. Step 2: Convert to fraction form
    620.76/856.98 = 411.24/x
  3. Step 3: Cross multiply
    620.76x = 856.98 × 411.24
  4. Step 4: Simplify right side
    620.76x = 352,424.46
  5. Step 5: Solve for x
    x = 352,424.46/620.76
  6. Step 6: Final answer
    x = 567.73

Related Problems

Find fourth proportional to 310.38, 428.49 and 205.62
Half scale
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Double scale
Find fourth proportional to 621.76, 858.36 and 412.24
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.