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Finding the Fourth Proportional to 1,385.31, 2,077.67 and 411.42

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Solution

The fourth proportional to 1,385.31, 2,077.67 and 411.42 is: 617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.31 : 2,077.67 = 411.42 : x
  2. Step 2: Convert to fraction form
    1,385.31/2,077.67 = 411.42/x
  3. Step 3: Cross multiply
    1,385.31x = 2,077.67 × 411.42
  4. Step 4: Simplify right side
    1,385.31x = 854,792.93
  5. Step 5: Solve for x
    x = 854,792.93/1,385.31
  6. Step 6: Final answer
    x = 617.04

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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.