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Finding the Fourth Proportional to 874.15, 1,310.92 and 257.70

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Solution

The fourth proportional to 874.15, 1,310.92 and 257.70 is: 386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.15 : 1,310.92 = 257.70 : x
  2. Step 2: Convert to fraction form
    874.15/1,310.92 = 257.70/x
  3. Step 3: Cross multiply
    874.15x = 1,310.92 × 257.70
  4. Step 4: Simplify right side
    874.15x = 337,824.08
  5. Step 5: Solve for x
    x = 337,824.08/874.15
  6. Step 6: Final answer
    x = 386.46

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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.