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Finding the Fourth Proportional to 1,374.50, 2,061.75 and 400.61

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Solution

The fourth proportional to 1,374.50, 2,061.75 and 400.61 is: 600.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.50 : 2,061.75 = 400.61 : x
  2. Step 2: Convert to fraction form
    1,374.50/2,061.75 = 400.61/x
  3. Step 3: Cross multiply
    1,374.50x = 2,061.75 × 400.61
  4. Step 4: Simplify right side
    1,374.50x = 825,957.67
  5. Step 5: Solve for x
    x = 825,957.67/1,374.50
  6. Step 6: Final answer
    x = 600.92

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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.