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Finding the Fourth Proportional to 768.32, 1,151.22 and 739.52

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Solution

The fourth proportional to 768.32, 1,151.22 and 739.52 is: 1,108.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.32 : 1,151.22 = 739.52 : x
  2. Step 2: Convert to fraction form
    768.32/1,151.22 = 739.52/x
  3. Step 3: Cross multiply
    768.32x = 1,151.22 × 739.52
  4. Step 4: Simplify right side
    768.32x = 851,344.46
  5. Step 5: Solve for x
    x = 851,344.46/768.32
  6. Step 6: Final answer
    x = 1,108.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.