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Finding the Fourth Proportional to 1,249.56, 1,874.34 and 427.95

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Solution

The fourth proportional to 1,249.56, 1,874.34 and 427.95 is: 641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.56 : 1,874.34 = 427.95 : x
  2. Step 2: Convert to fraction form
    1,249.56/1,874.34 = 427.95/x
  3. Step 3: Cross multiply
    1,249.56x = 1,874.34 × 427.95
  4. Step 4: Simplify right side
    1,249.56x = 802,123.80
  5. Step 5: Solve for x
    x = 802,123.80/1,249.56
  6. Step 6: Final answer
    x = 641.93

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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.