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Finding the Fourth Proportional to 766.89, 1,149.60 and 401.91

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Solution

The fourth proportional to 766.89, 1,149.60 and 401.91 is: 602.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.89 : 1,149.60 = 401.91 : x
  2. Step 2: Convert to fraction form
    766.89/1,149.60 = 401.91/x
  3. Step 3: Cross multiply
    766.89x = 1,149.60 × 401.91
  4. Step 4: Simplify right side
    766.89x = 462,035.74
  5. Step 5: Solve for x
    x = 462,035.74/766.89
  6. Step 6: Final answer
    x = 602.48

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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.