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Finding the Fourth Proportional to 457.18, 681.02 and 432.34

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Solution

The fourth proportional to 457.18, 681.02 and 432.34 is: 644.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.18 : 681.02 = 432.34 : x
  2. Step 2: Convert to fraction form
    457.18/681.02 = 432.34/x
  3. Step 3: Cross multiply
    457.18x = 681.02 × 432.34
  4. Step 4: Simplify right side
    457.18x = 294,432.19
  5. Step 5: Solve for x
    x = 294,432.19/457.18
  6. Step 6: Final answer
    x = 644.02

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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.