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Finding the Fourth Proportional to 874.90, 1,310.66 and 667.94

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Solution

The fourth proportional to 874.90, 1,310.66 and 667.94 is: 1,000.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.90 : 1,310.66 = 667.94 : x
  2. Step 2: Convert to fraction form
    874.90/1,310.66 = 667.94/x
  3. Step 3: Cross multiply
    874.90x = 1,310.66 × 667.94
  4. Step 4: Simplify right side
    874.90x = 875,442.24
  5. Step 5: Solve for x
    x = 875,442.24/874.90
  6. Step 6: Final answer
    x = 1,000.62

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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.