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Finding the Fourth Proportional to 724.86, 999.78 and 463.02

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Solution

The fourth proportional to 724.86, 999.78 and 463.02 is: 638.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.86 : 999.78 = 463.02 : x
  2. Step 2: Convert to fraction form
    724.86/999.78 = 463.02/x
  3. Step 3: Cross multiply
    724.86x = 999.78 × 463.02
  4. Step 4: Simplify right side
    724.86x = 462,918.14
  5. Step 5: Solve for x
    x = 462,918.14/724.86
  6. Step 6: Final answer
    x = 638.63

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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.