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Finding the Fourth Proportional to 874.19, 1,310.18 and 410.96

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Solution

The fourth proportional to 874.19, 1,310.18 and 410.96 is: 615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.19 : 1,310.18 = 410.96 : x
  2. Step 2: Convert to fraction form
    874.19/1,310.18 = 410.96/x
  3. Step 3: Cross multiply
    874.19x = 1,310.18 × 410.96
  4. Step 4: Simplify right side
    874.19x = 538,422.97
  5. Step 5: Solve for x
    x = 538,422.97/874.19
  6. Step 6: Final answer
    x = 615.91

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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.