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Finding the Fourth Proportional to 874.97, 1,201.74 and 807.31

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Solution

The fourth proportional to 874.97, 1,201.74 and 807.31 is: 1,108.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.97 : 1,201.74 = 807.31 : x
  2. Step 2: Convert to fraction form
    874.97/1,201.74 = 807.31/x
  3. Step 3: Cross multiply
    874.97x = 1,201.74 × 807.31
  4. Step 4: Simplify right side
    874.97x = 970,176.90
  5. Step 5: Solve for x
    x = 970,176.90/874.97
  6. Step 6: Final answer
    x = 1,108.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.