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Finding the Fourth Proportional to 494.16, 737.70 and 461.52

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Solution

The fourth proportional to 494.16, 737.70 and 461.52 is: 688.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.16 : 737.70 = 461.52 : x
  2. Step 2: Convert to fraction form
    494.16/737.70 = 461.52/x
  3. Step 3: Cross multiply
    494.16x = 737.70 × 461.52
  4. Step 4: Simplify right side
    494.16x = 340,463.30
  5. Step 5: Solve for x
    x = 340,463.30/494.16
  6. Step 6: Final answer
    x = 688.97

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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.