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Finding the Fourth Proportional to 758.69, 1,132.08 and 712.25

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Solution

The fourth proportional to 758.69, 1,132.08 and 712.25 is: 1,062.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.69 : 1,132.08 = 712.25 : x
  2. Step 2: Convert to fraction form
    758.69/1,132.08 = 712.25/x
  3. Step 3: Cross multiply
    758.69x = 1,132.08 × 712.25
  4. Step 4: Simplify right side
    758.69x = 806,314.76
  5. Step 5: Solve for x
    x = 806,314.76/758.69
  6. Step 6: Final answer
    x = 1,062.78

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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.