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Finding the Fourth Proportional to 1,122.92, 1,681.35 and 731.75

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Solution

The fourth proportional to 1,122.92, 1,681.35 and 731.75 is: 1,095.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.92 : 1,681.35 = 731.75 : x
  2. Step 2: Convert to fraction form
    1,122.92/1,681.35 = 731.75/x
  3. Step 3: Cross multiply
    1,122.92x = 1,681.35 × 731.75
  4. Step 4: Simplify right side
    1,122.92x = 1,230,327.86
  5. Step 5: Solve for x
    x = 1,230,327.86/1,122.92
  6. Step 6: Final answer
    x = 1,095.65

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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.