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Finding the Fourth Proportional to 781.40, 1,076.03 and 698.48

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Solution

The fourth proportional to 781.40, 1,076.03 and 698.48 is: 961.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.40 : 1,076.03 = 698.48 : x
  2. Step 2: Convert to fraction form
    781.40/1,076.03 = 698.48/x
  3. Step 3: Cross multiply
    781.40x = 1,076.03 × 698.48
  4. Step 4: Simplify right side
    781.40x = 751,576.56
  5. Step 5: Solve for x
    x = 751,576.56/781.40
  6. Step 6: Final answer
    x = 961.84

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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.