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Finding the Fourth Proportional to 1,374.64, 2,061.32 and 400.55

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Solution

The fourth proportional to 1,374.64, 2,061.32 and 400.55 is: 600.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.64 : 2,061.32 = 400.55 : x
  2. Step 2: Convert to fraction form
    1,374.64/2,061.32 = 400.55/x
  3. Step 3: Cross multiply
    1,374.64x = 2,061.32 × 400.55
  4. Step 4: Simplify right side
    1,374.64x = 825,649.42
  5. Step 5: Solve for x
    x = 825,649.42/1,374.64
  6. Step 6: Final answer
    x = 600.63

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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.