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Finding the Fourth Proportional to 457.22, 681.86 and 432.92

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Solution

The fourth proportional to 457.22, 681.86 and 432.92 is: 645.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.22 : 681.86 = 432.92 : x
  2. Step 2: Convert to fraction form
    457.22/681.86 = 432.92/x
  3. Step 3: Cross multiply
    457.22x = 681.86 × 432.92
  4. Step 4: Simplify right side
    457.22x = 295,186.88
  5. Step 5: Solve for x
    x = 295,186.88/457.22
  6. Step 6: Final answer
    x = 645.62

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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.