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Finding the Fourth Proportional to 718.66, 992.20 and 497.53

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Solution

The fourth proportional to 718.66, 992.20 and 497.53 is: 686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.66 : 992.20 = 497.53 : x
  2. Step 2: Convert to fraction form
    718.66/992.20 = 497.53/x
  3. Step 3: Cross multiply
    718.66x = 992.20 × 497.53
  4. Step 4: Simplify right side
    718.66x = 493,644.31
  5. Step 5: Solve for x
    x = 493,644.31/718.66
  6. Step 6: Final answer
    x = 686.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.