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Finding the Fourth Proportional to 1,149.84, 1,725.57 and 1,039.68

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Solution

The fourth proportional to 1,149.84, 1,725.57 and 1,039.68 is: 1,560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.84 : 1,725.57 = 1,039.68 : x
  2. Step 2: Convert to fraction form
    1,149.84/1,725.57 = 1,039.68/x
  3. Step 3: Cross multiply
    1,149.84x = 1,725.57 × 1,039.68
  4. Step 4: Simplify right side
    1,149.84x = 1,794,040.62
  5. Step 5: Solve for x
    x = 1,794,040.62/1,149.84
  6. Step 6: Final answer
    x = 1,560.25

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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.