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Finding the Fourth Proportional to 517.35, 775.12 and 431.24

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Solution

The fourth proportional to 517.35, 775.12 and 431.24 is: 646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.35 : 775.12 = 431.24 : x
  2. Step 2: Convert to fraction form
    517.35/775.12 = 431.24/x
  3. Step 3: Cross multiply
    517.35x = 775.12 × 431.24
  4. Step 4: Simplify right side
    517.35x = 334,257.80
  5. Step 5: Solve for x
    x = 334,257.80/517.35
  6. Step 6: Final answer
    x = 646.10

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.