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Finding the Fourth Proportional to 457.76, 632.88 and 425.12

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Solution

The fourth proportional to 457.76, 632.88 and 425.12 is: 587.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.76 : 632.88 = 425.12 : x
  2. Step 2: Convert to fraction form
    457.76/632.88 = 425.12/x
  3. Step 3: Cross multiply
    457.76x = 632.88 × 425.12
  4. Step 4: Simplify right side
    457.76x = 269,049.95
  5. Step 5: Solve for x
    x = 269,049.95/457.76
  6. Step 6: Final answer
    x = 587.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.