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Finding the Fourth Proportional to 494.43, 742.85 and 372.32

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Solution

The fourth proportional to 494.43, 742.85 and 372.32 is: 559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.43 : 742.85 = 372.32 : x
  2. Step 2: Convert to fraction form
    494.43/742.85 = 372.32/x
  3. Step 3: Cross multiply
    494.43x = 742.85 × 372.32
  4. Step 4: Simplify right side
    494.43x = 276,574.20
  5. Step 5: Solve for x
    x = 276,574.20/494.43
  6. Step 6: Final answer
    x = 559.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.