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Finding the Fourth Proportional to 1,187.40, 1,776.81 and 725.28

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Solution

The fourth proportional to 1,187.40, 1,776.81 and 725.28 is: 1,085.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.40 : 1,776.81 = 725.28 : x
  2. Step 2: Convert to fraction form
    1,187.40/1,776.81 = 725.28/x
  3. Step 3: Cross multiply
    1,187.40x = 1,776.81 × 725.28
  4. Step 4: Simplify right side
    1,187.40x = 1,288,684.76
  5. Step 5: Solve for x
    x = 1,288,684.76/1,187.40
  6. Step 6: Final answer
    x = 1,085.30

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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.