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Finding the Fourth Proportional to 1,132.71, 1,563.47 and 739.79

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Solution

The fourth proportional to 1,132.71, 1,563.47 and 739.79 is: 1,021.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.71 : 1,563.47 = 739.79 : x
  2. Step 2: Convert to fraction form
    1,132.71/1,563.47 = 739.79/x
  3. Step 3: Cross multiply
    1,132.71x = 1,563.47 × 739.79
  4. Step 4: Simplify right side
    1,132.71x = 1,156,635.77
  5. Step 5: Solve for x
    x = 1,156,635.77/1,132.71
  6. Step 6: Final answer
    x = 1,021.13

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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.