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Finding the Fourth Proportional to 724.58, 999.94 and 393.02

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Solution

The fourth proportional to 724.58, 999.94 and 393.02 is: 542.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.58 : 999.94 = 393.02 : x
  2. Step 2: Convert to fraction form
    724.58/999.94 = 393.02/x
  3. Step 3: Cross multiply
    724.58x = 999.94 × 393.02
  4. Step 4: Simplify right side
    724.58x = 392,997.94
  5. Step 5: Solve for x
    x = 392,997.94/724.58
  6. Step 6: Final answer
    x = 542.38

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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.