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Finding the Fourth Proportional to 517.54, 776.31 and 431.14

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Solution

The fourth proportional to 517.54, 776.31 and 431.14 is: 646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.54 : 776.31 = 431.14 : x
  2. Step 2: Convert to fraction form
    517.54/776.31 = 431.14/x
  3. Step 3: Cross multiply
    517.54x = 776.31 × 431.14
  4. Step 4: Simplify right side
    517.54x = 334,698.29
  5. Step 5: Solve for x
    x = 334,698.29/517.54
  6. Step 6: Final answer
    x = 646.71

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Double scale
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Similar ratio
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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.