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Finding the Fourth Proportional to 1,150.59, 1,723.78 and 739.78

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Solution

The fourth proportional to 1,150.59, 1,723.78 and 739.78 is: 1,108.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.59 : 1,723.78 = 739.78 : x
  2. Step 2: Convert to fraction form
    1,150.59/1,723.78 = 739.78/x
  3. Step 3: Cross multiply
    1,150.59x = 1,723.78 × 739.78
  4. Step 4: Simplify right side
    1,150.59x = 1,275,217.97
  5. Step 5: Solve for x
    x = 1,275,217.97/1,150.59
  6. Step 6: Final answer
    x = 1,108.32

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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.