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Finding the Fourth Proportional to 874.60, 1,310.70 and 712.60

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Solution

The fourth proportional to 874.60, 1,310.70 and 712.60 is: 1,067.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.60 : 1,310.70 = 712.60 : x
  2. Step 2: Convert to fraction form
    874.60/1,310.70 = 712.60/x
  3. Step 3: Cross multiply
    874.60x = 1,310.70 × 712.60
  4. Step 4: Simplify right side
    874.60x = 934,004.82
  5. Step 5: Solve for x
    x = 934,004.82/874.60
  6. Step 6: Final answer
    x = 1,067.92

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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.