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Finding the Fourth Proportional to 494.52, 737.17 and 487.01

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Solution

The fourth proportional to 494.52, 737.17 and 487.01 is: 725.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.52 : 737.17 = 487.01 : x
  2. Step 2: Convert to fraction form
    494.52/737.17 = 487.01/x
  3. Step 3: Cross multiply
    494.52x = 737.17 × 487.01
  4. Step 4: Simplify right side
    494.52x = 359,009.79
  5. Step 5: Solve for x
    x = 359,009.79/494.52
  6. Step 6: Final answer
    x = 725.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.