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Finding the Fourth Proportional to 766.04, 1,057.43 and 754.79

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Solution

The fourth proportional to 766.04, 1,057.43 and 754.79 is: 1,041.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.04 : 1,057.43 = 754.79 : x
  2. Step 2: Convert to fraction form
    766.04/1,057.43 = 754.79/x
  3. Step 3: Cross multiply
    766.04x = 1,057.43 × 754.79
  4. Step 4: Simplify right side
    766.04x = 798,134.19
  5. Step 5: Solve for x
    x = 798,134.19/766.04
  6. Step 6: Final answer
    x = 1,041.90

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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.