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Finding the Fourth Proportional to 1,139.92, 1,706.64 and 1,049.20

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Solution

The fourth proportional to 1,139.92, 1,706.64 and 1,049.20 is: 1,570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.92 : 1,706.64 = 1,049.20 : x
  2. Step 2: Convert to fraction form
    1,139.92/1,706.64 = 1,049.20/x
  3. Step 3: Cross multiply
    1,139.92x = 1,706.64 × 1,049.20
  4. Step 4: Simplify right side
    1,139.92x = 1,790,606.69
  5. Step 5: Solve for x
    x = 1,790,606.69/1,139.92
  6. Step 6: Final answer
    x = 1,570.82

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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.