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Finding the Fourth Proportional to 723.59, 996.86 and 502.16

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Solution

The fourth proportional to 723.59, 996.86 and 502.16 is: 691.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.59 : 996.86 = 502.16 : x
  2. Step 2: Convert to fraction form
    723.59/996.86 = 502.16/x
  3. Step 3: Cross multiply
    723.59x = 996.86 × 502.16
  4. Step 4: Simplify right side
    723.59x = 500,585.10
  5. Step 5: Solve for x
    x = 500,585.10/723.59
  6. Step 6: Final answer
    x = 691.80

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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.