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Finding the Fourth Proportional to 1,451.76, 2,177.46 and 411.84

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Solution

The fourth proportional to 1,451.76, 2,177.46 and 411.84 is: 617.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.76 : 2,177.46 = 411.84 : x
  2. Step 2: Convert to fraction form
    1,451.76/2,177.46 = 411.84/x
  3. Step 3: Cross multiply
    1,451.76x = 2,177.46 × 411.84
  4. Step 4: Simplify right side
    1,451.76x = 896,765.13
  5. Step 5: Solve for x
    x = 896,765.13/1,451.76
  6. Step 6: Final answer
    x = 617.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.