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Finding the Fourth Proportional to 632.17, 872.76 and 457.21

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Solution

The fourth proportional to 632.17, 872.76 and 457.21 is: 631.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.17 : 872.76 = 457.21 : x
  2. Step 2: Convert to fraction form
    632.17/872.76 = 457.21/x
  3. Step 3: Cross multiply
    632.17x = 872.76 × 457.21
  4. Step 4: Simplify right side
    632.17x = 399,034.60
  5. Step 5: Solve for x
    x = 399,034.60/632.17
  6. Step 6: Final answer
    x = 631.21

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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.