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Finding the Fourth Proportional to 781.85, 1,077.91 and 756.34

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Solution

The fourth proportional to 781.85, 1,077.91 and 756.34 is: 1,042.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.85 : 1,077.91 = 756.34 : x
  2. Step 2: Convert to fraction form
    781.85/1,077.91 = 756.34/x
  3. Step 3: Cross multiply
    781.85x = 1,077.91 × 756.34
  4. Step 4: Simplify right side
    781.85x = 815,261.86
  5. Step 5: Solve for x
    x = 815,261.86/781.85
  6. Step 6: Final answer
    x = 1,042.73

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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.