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Finding the Fourth Proportional to 1,249.60, 1,874.96 and 656.49

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Solution

The fourth proportional to 1,249.60, 1,874.96 and 656.49 is: 985.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.60 : 1,874.96 = 656.49 : x
  2. Step 2: Convert to fraction form
    1,249.60/1,874.96 = 656.49/x
  3. Step 3: Cross multiply
    1,249.60x = 1,874.96 × 656.49
  4. Step 4: Simplify right side
    1,249.60x = 1,230,892.49
  5. Step 5: Solve for x
    x = 1,230,892.49/1,249.60
  6. Step 6: Final answer
    x = 985.03

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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.