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Finding the Fourth Proportional to 767.04, 1,147.12 and 685.28

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Solution

The fourth proportional to 767.04, 1,147.12 and 685.28 is: 1,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.04 : 1,147.12 = 685.28 : x
  2. Step 2: Convert to fraction form
    767.04/1,147.12 = 685.28/x
  3. Step 3: Cross multiply
    767.04x = 1,147.12 × 685.28
  4. Step 4: Simplify right side
    767.04x = 786,098.39
  5. Step 5: Solve for x
    x = 786,098.39/767.04
  6. Step 6: Final answer
    x = 1,024.85

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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.