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Finding the Fourth Proportional to 1,251.98, 1,878.24 and 374.55

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Solution

The fourth proportional to 1,251.98, 1,878.24 and 374.55 is: 561.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.98 : 1,878.24 = 374.55 : x
  2. Step 2: Convert to fraction form
    1,251.98/1,878.24 = 374.55/x
  3. Step 3: Cross multiply
    1,251.98x = 1,878.24 × 374.55
  4. Step 4: Simplify right side
    1,251.98x = 703,493.86
  5. Step 5: Solve for x
    x = 703,493.86/1,251.98
  6. Step 6: Final answer
    x = 561.91

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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.