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Finding the Fourth Proportional to 766.87, 1,057.80 and 668.86

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Solution

The fourth proportional to 766.87, 1,057.80 and 668.86 is: 922.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.87 : 1,057.80 = 668.86 : x
  2. Step 2: Convert to fraction form
    766.87/1,057.80 = 668.86/x
  3. Step 3: Cross multiply
    766.87x = 1,057.80 × 668.86
  4. Step 4: Simplify right side
    766.87x = 707,514.82
  5. Step 5: Solve for x
    x = 707,514.82/766.87
  6. Step 6: Final answer
    x = 922.61

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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.