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Finding the Fourth Proportional to 724.59, 998.24 and 503.16

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Solution

The fourth proportional to 724.59, 998.24 and 503.16 is: 693.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.59 : 998.24 = 503.16 : x
  2. Step 2: Convert to fraction form
    724.59/998.24 = 503.16/x
  3. Step 3: Cross multiply
    724.59x = 998.24 × 503.16
  4. Step 4: Simplify right side
    724.59x = 502,274.44
  5. Step 5: Solve for x
    x = 502,274.44/724.59
  6. Step 6: Final answer
    x = 693.18

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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.