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Finding the Fourth Proportional to 517.76, 775.73 and 431.64

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Solution

The fourth proportional to 517.76, 775.73 and 431.64 is: 646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.76 : 775.73 = 431.64 : x
  2. Step 2: Convert to fraction form
    517.76/775.73 = 431.64/x
  3. Step 3: Cross multiply
    517.76x = 775.73 × 431.64
  4. Step 4: Simplify right side
    517.76x = 334,833.94
  5. Step 5: Solve for x
    x = 334,833.94/517.76
  6. Step 6: Final answer
    x = 646.70

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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.