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Finding the Fourth Proportional to 1,187.49, 1,780.32 and 725.49

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Solution

The fourth proportional to 1,187.49, 1,780.32 and 725.49 is: 1,087.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.49 : 1,780.32 = 725.49 : x
  2. Step 2: Convert to fraction form
    1,187.49/1,780.32 = 725.49/x
  3. Step 3: Cross multiply
    1,187.49x = 1,780.32 × 725.49
  4. Step 4: Simplify right side
    1,187.49x = 1,291,604.36
  5. Step 5: Solve for x
    x = 1,291,604.36/1,187.49
  6. Step 6: Final answer
    x = 1,087.68

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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.