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Finding the Fourth Proportional to 766.85, 1,057.02 and 604.89

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Solution

The fourth proportional to 766.85, 1,057.02 and 604.89 is: 833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.85 : 1,057.02 = 604.89 : x
  2. Step 2: Convert to fraction form
    766.85/1,057.02 = 604.89/x
  3. Step 3: Cross multiply
    766.85x = 1,057.02 × 604.89
  4. Step 4: Simplify right side
    766.85x = 639,380.83
  5. Step 5: Solve for x
    x = 639,380.83/766.85
  6. Step 6: Final answer
    x = 833.78

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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.