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Finding the Fourth Proportional to 874.32, 1,207.08 and 781.44

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Solution

The fourth proportional to 874.32, 1,207.08 and 781.44 is: 1,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.32 : 1,207.08 = 781.44 : x
  2. Step 2: Convert to fraction form
    874.32/1,207.08 = 781.44/x
  3. Step 3: Cross multiply
    874.32x = 1,207.08 × 781.44
  4. Step 4: Simplify right side
    874.32x = 943,260.60
  5. Step 5: Solve for x
    x = 943,260.60/874.32
  6. Step 6: Final answer
    x = 1,078.85

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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.