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Finding the Fourth Proportional to 497.44, 742.47 and 432.64

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Solution

The fourth proportional to 497.44, 742.47 and 432.64 is: 645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.44 : 742.47 = 432.64 : x
  2. Step 2: Convert to fraction form
    497.44/742.47 = 432.64/x
  3. Step 3: Cross multiply
    497.44x = 742.47 × 432.64
  4. Step 4: Simplify right side
    497.44x = 321,221.53
  5. Step 5: Solve for x
    x = 321,221.53/497.44
  6. Step 6: Final answer
    x = 645.75

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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.