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Finding the Fourth Proportional to 874.06, 1,204.01 and 747.61

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Solution

The fourth proportional to 874.06, 1,204.01 and 747.61 is: 1,029.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.06 : 1,204.01 = 747.61 : x
  2. Step 2: Convert to fraction form
    874.06/1,204.01 = 747.61/x
  3. Step 3: Cross multiply
    874.06x = 1,204.01 × 747.61
  4. Step 4: Simplify right side
    874.06x = 900,129.92
  5. Step 5: Solve for x
    x = 900,129.92/874.06
  6. Step 6: Final answer
    x = 1,029.83

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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.