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Finding the Fourth Proportional to 766.62, 1,057.30 and 668.20

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Solution

The fourth proportional to 766.62, 1,057.30 and 668.20 is: 921.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.62 : 1,057.30 = 668.20 : x
  2. Step 2: Convert to fraction form
    766.62/1,057.30 = 668.20/x
  3. Step 3: Cross multiply
    766.62x = 1,057.30 × 668.20
  4. Step 4: Simplify right side
    766.62x = 706,487.86
  5. Step 5: Solve for x
    x = 706,487.86/766.62
  6. Step 6: Final answer
    x = 921.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.