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Finding the Fourth Proportional to 874.33, 1,311.28 and 411.66

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Solution

The fourth proportional to 874.33, 1,311.28 and 411.66 is: 617.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.33 : 1,311.28 = 411.66 : x
  2. Step 2: Convert to fraction form
    874.33/1,311.28 = 411.66/x
  3. Step 3: Cross multiply
    874.33x = 1,311.28 × 411.66
  4. Step 4: Simplify right side
    874.33x = 539,800.50
  5. Step 5: Solve for x
    x = 539,800.50/874.33
  6. Step 6: Final answer
    x = 617.39

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Double scale
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Similar ratio
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1.5x scale

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.