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Finding the Fourth Proportional to 517.76, 772.65 and 462.33

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Solution

The fourth proportional to 517.76, 772.65 and 462.33 is: 689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.76 : 772.65 = 462.33 : x
  2. Step 2: Convert to fraction form
    517.76/772.65 = 462.33/x
  3. Step 3: Cross multiply
    517.76x = 772.65 × 462.33
  4. Step 4: Simplify right side
    517.76x = 357,219.27
  5. Step 5: Solve for x
    x = 357,219.27/517.76
  6. Step 6: Final answer
    x = 689.93

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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.