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Finding the Fourth Proportional to 767.47, 1,149.40 and 754.78

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Solution

The fourth proportional to 767.47, 1,149.40 and 754.78 is: 1,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.47 : 1,149.40 = 754.78 : x
  2. Step 2: Convert to fraction form
    767.47/1,149.40 = 754.78/x
  3. Step 3: Cross multiply
    767.47x = 1,149.40 × 754.78
  4. Step 4: Simplify right side
    767.47x = 867,544.13
  5. Step 5: Solve for x
    x = 867,544.13/767.47
  6. Step 6: Final answer
    x = 1,130.39

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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.