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Finding the Fourth Proportional to 874.71, 1,311.00 and 411.58

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Solution

The fourth proportional to 874.71, 1,311.00 and 411.58 is: 616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.71 : 1,311.00 = 411.58 : x
  2. Step 2: Convert to fraction form
    874.71/1,311.00 = 411.58/x
  3. Step 3: Cross multiply
    874.71x = 1,311.00 × 411.58
  4. Step 4: Simplify right side
    874.71x = 539,584.66
  5. Step 5: Solve for x
    x = 539,584.66/874.71
  6. Step 6: Final answer
    x = 616.88

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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.