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Finding the Fourth Proportional to 767.41, 1,151.61 and 764.57

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Solution

The fourth proportional to 767.41, 1,151.61 and 764.57 is: 1,147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.41 : 1,151.61 = 764.57 : x
  2. Step 2: Convert to fraction form
    767.41/1,151.61 = 764.57/x
  3. Step 3: Cross multiply
    767.41x = 1,151.61 × 764.57
  4. Step 4: Simplify right side
    767.41x = 880,486.47
  5. Step 5: Solve for x
    x = 880,486.47/767.41
  6. Step 6: Final answer
    x = 1,147.35

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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.