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Finding the Fourth Proportional to 873.90, 1,310.87 and 758.90

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Solution

The fourth proportional to 873.90, 1,310.87 and 758.90 is: 1,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.90 : 1,310.87 = 758.90 : x
  2. Step 2: Convert to fraction form
    873.90/1,310.87 = 758.90/x
  3. Step 3: Cross multiply
    873.90x = 1,310.87 × 758.90
  4. Step 4: Simplify right side
    873.90x = 994,819.24
  5. Step 5: Solve for x
    x = 994,819.24/873.90
  6. Step 6: Final answer
    x = 1,138.37

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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.