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Finding the Fourth Proportional to 565.85, 780.83 and 344.77

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Solution

The fourth proportional to 565.85, 780.83 and 344.77 is: 475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.85 : 780.83 = 344.77 : x
  2. Step 2: Convert to fraction form
    565.85/780.83 = 344.77/x
  3. Step 3: Cross multiply
    565.85x = 780.83 × 344.77
  4. Step 4: Simplify right side
    565.85x = 269,203.08
  5. Step 5: Solve for x
    x = 269,203.08/565.85
  6. Step 6: Final answer
    x = 475.75

Related Problems

Find fourth proportional to 282.93, 390.41 and 172.38
Half scale
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Double scale
Find fourth proportional to 566.85, 782.20 and 345.77
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.