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Finding the Fourth Proportional to 767.06, 1,149.45 and 454.38

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Solution

The fourth proportional to 767.06, 1,149.45 and 454.38 is: 680.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.06 : 1,149.45 = 454.38 : x
  2. Step 2: Convert to fraction form
    767.06/1,149.45 = 454.38/x
  3. Step 3: Cross multiply
    767.06x = 1,149.45 × 454.38
  4. Step 4: Simplify right side
    767.06x = 522,287.09
  5. Step 5: Solve for x
    x = 522,287.09/767.06
  6. Step 6: Final answer
    x = 680.90

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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.