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Finding the Fourth Proportional to 833.91, 1,255.47 and 731.85

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Solution

The fourth proportional to 833.91, 1,255.47 and 731.85 is: 1,101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.91 : 1,255.47 = 731.85 : x
  2. Step 2: Convert to fraction form
    833.91/1,255.47 = 731.85/x
  3. Step 3: Cross multiply
    833.91x = 1,255.47 × 731.85
  4. Step 4: Simplify right side
    833.91x = 918,815.72
  5. Step 5: Solve for x
    x = 918,815.72/833.91
  6. Step 6: Final answer
    x = 1,101.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.