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Finding the Fourth Proportional to 1,374.13, 2,061.51 and 400.24

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Solution

The fourth proportional to 1,374.13, 2,061.51 and 400.24 is: 600.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.13 : 2,061.51 = 400.24 : x
  2. Step 2: Convert to fraction form
    1,374.13/2,061.51 = 400.24/x
  3. Step 3: Cross multiply
    1,374.13x = 2,061.51 × 400.24
  4. Step 4: Simplify right side
    1,374.13x = 825,098.76
  5. Step 5: Solve for x
    x = 825,098.76/1,374.13
  6. Step 6: Final answer
    x = 600.45

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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.