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Finding the Fourth Proportional to 494.50, 738.02 and 432.88

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Solution

The fourth proportional to 494.50, 738.02 and 432.88 is: 646.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.50 : 738.02 = 432.88 : x
  2. Step 2: Convert to fraction form
    494.50/738.02 = 432.88/x
  3. Step 3: Cross multiply
    494.50x = 738.02 × 432.88
  4. Step 4: Simplify right side
    494.50x = 319,474.10
  5. Step 5: Solve for x
    x = 319,474.10/494.50
  6. Step 6: Final answer
    x = 646.05

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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.