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Finding the Fourth Proportional to 1,049.52, 1,568.79 and 739.29

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Solution

The fourth proportional to 1,049.52, 1,568.79 and 739.29 is: 1,105.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.52 : 1,568.79 = 739.29 : x
  2. Step 2: Convert to fraction form
    1,049.52/1,568.79 = 739.29/x
  3. Step 3: Cross multiply
    1,049.52x = 1,568.79 × 739.29
  4. Step 4: Simplify right side
    1,049.52x = 1,159,790.76
  5. Step 5: Solve for x
    x = 1,159,790.76/1,049.52
  6. Step 6: Final answer
    x = 1,105.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.