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Finding the Fourth Proportional to 1,132.74, 1,562.58 and 739.35

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Solution

The fourth proportional to 1,132.74, 1,562.58 and 739.35 is: 1,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.74 : 1,562.58 = 739.35 : x
  2. Step 2: Convert to fraction form
    1,132.74/1,562.58 = 739.35/x
  3. Step 3: Cross multiply
    1,132.74x = 1,562.58 × 739.35
  4. Step 4: Simplify right side
    1,132.74x = 1,155,293.52
  5. Step 5: Solve for x
    x = 1,155,293.52/1,132.74
  6. Step 6: Final answer
    x = 1,019.91

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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.