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Finding the Fourth Proportional to 766.90, 1,149.63 and 376.66

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Solution

The fourth proportional to 766.90, 1,149.63 and 376.66 is: 564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.90 : 1,149.63 = 376.66 : x
  2. Step 2: Convert to fraction form
    766.90/1,149.63 = 376.66/x
  3. Step 3: Cross multiply
    766.90x = 1,149.63 × 376.66
  4. Step 4: Simplify right side
    766.90x = 433,019.64
  5. Step 5: Solve for x
    x = 433,019.64/766.90
  6. Step 6: Final answer
    x = 564.64

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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.