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Finding the Fourth Proportional to 724.50, 999.54 and 503.91

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Solution

The fourth proportional to 724.50, 999.54 and 503.91 is: 695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.50 : 999.54 = 503.91 : x
  2. Step 2: Convert to fraction form
    724.50/999.54 = 503.91/x
  3. Step 3: Cross multiply
    724.50x = 999.54 × 503.91
  4. Step 4: Simplify right side
    724.50x = 503,678.20
  5. Step 5: Solve for x
    x = 503,678.20/724.50
  6. Step 6: Final answer
    x = 695.21

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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.