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Finding the Fourth Proportional to 632.26, 872.67 and 457.57

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Solution

The fourth proportional to 632.26, 872.67 and 457.57 is: 631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.26 : 872.67 = 457.57 : x
  2. Step 2: Convert to fraction form
    632.26/872.67 = 457.57/x
  3. Step 3: Cross multiply
    632.26x = 872.67 × 457.57
  4. Step 4: Simplify right side
    632.26x = 399,307.61
  5. Step 5: Solve for x
    x = 399,307.61/632.26
  6. Step 6: Final answer
    x = 631.56

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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.