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Finding the Fourth Proportional to 724.41, 999.14 and 503.69

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Solution

The fourth proportional to 724.41, 999.14 and 503.69 is: 694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.41 : 999.14 = 503.69 : x
  2. Step 2: Convert to fraction form
    724.41/999.14 = 503.69/x
  3. Step 3: Cross multiply
    724.41x = 999.14 × 503.69
  4. Step 4: Simplify right side
    724.41x = 503,249.31
  5. Step 5: Solve for x
    x = 503,249.31/724.41
  6. Step 6: Final answer
    x = 694.70

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