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Finding the Fourth Proportional to 517.82, 772.93 and 456.31

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Solution

The fourth proportional to 517.82, 772.93 and 456.31 is: 681.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.82 : 772.93 = 456.31 : x
  2. Step 2: Convert to fraction form
    517.82/772.93 = 456.31/x
  3. Step 3: Cross multiply
    517.82x = 772.93 × 456.31
  4. Step 4: Simplify right side
    517.82x = 352,693.52
  5. Step 5: Solve for x
    x = 352,693.52/517.82
  6. Step 6: Final answer
    x = 681.12

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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.