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Finding the Fourth Proportional to 759.18, 1,132.82 and 712.74

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Solution

The fourth proportional to 759.18, 1,132.82 and 712.74 is: 1,063.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.18 : 1,132.82 = 712.74 : x
  2. Step 2: Convert to fraction form
    759.18/1,132.82 = 712.74/x
  3. Step 3: Cross multiply
    759.18x = 1,132.82 × 712.74
  4. Step 4: Simplify right side
    759.18x = 807,406.13
  5. Step 5: Solve for x
    x = 807,406.13/759.18
  6. Step 6: Final answer
    x = 1,063.52

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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.