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Finding the Fourth Proportional to 1,121.97, 1,681.32 and 632.52

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Solution

The fourth proportional to 1,121.97, 1,681.32 and 632.52 is: 947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.97 : 1,681.32 = 632.52 : x
  2. Step 2: Convert to fraction form
    1,121.97/1,681.32 = 632.52/x
  3. Step 3: Cross multiply
    1,121.97x = 1,681.32 × 632.52
  4. Step 4: Simplify right side
    1,121.97x = 1,063,468.53
  5. Step 5: Solve for x
    x = 1,063,468.53/1,121.97
  6. Step 6: Final answer
    x = 947.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.