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Finding the Fourth Proportional to 1,148.56, 1,584.87 and 728.17

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Solution

The fourth proportional to 1,148.56, 1,584.87 and 728.17 is: 1,004.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.56 : 1,584.87 = 728.17 : x
  2. Step 2: Convert to fraction form
    1,148.56/1,584.87 = 728.17/x
  3. Step 3: Cross multiply
    1,148.56x = 1,584.87 × 728.17
  4. Step 4: Simplify right side
    1,148.56x = 1,154,057.01
  5. Step 5: Solve for x
    x = 1,154,057.01/1,148.56
  6. Step 6: Final answer
    x = 1,004.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.