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Finding the Fourth Proportional to 768.34, 1,150.71 and 755.65

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Solution

The fourth proportional to 768.34, 1,150.71 and 755.65 is: 1,131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.34 : 1,150.71 = 755.65 : x
  2. Step 2: Convert to fraction form
    768.34/1,150.71 = 755.65/x
  3. Step 3: Cross multiply
    768.34x = 1,150.71 × 755.65
  4. Step 4: Simplify right side
    768.34x = 869,534.01
  5. Step 5: Solve for x
    x = 869,534.01/768.34
  6. Step 6: Final answer
    x = 1,131.70

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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.