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Finding the Fourth Proportional to 517.56, 772.35 and 462.13

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Solution

The fourth proportional to 517.56, 772.35 and 462.13 is: 689.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.56 : 772.35 = 462.13 : x
  2. Step 2: Convert to fraction form
    517.56/772.35 = 462.13/x
  3. Step 3: Cross multiply
    517.56x = 772.35 × 462.13
  4. Step 4: Simplify right side
    517.56x = 356,919.93
  5. Step 5: Solve for x
    x = 356,919.93/517.56
  6. Step 6: Final answer
    x = 689.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.