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Finding the Fourth Proportional to 781.41, 1,078.23 and 760.41

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Solution

The fourth proportional to 781.41, 1,078.23 and 760.41 is: 1,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.41 : 1,078.23 = 760.41 : x
  2. Step 2: Convert to fraction form
    781.41/1,078.23 = 760.41/x
  3. Step 3: Cross multiply
    781.41x = 1,078.23 × 760.41
  4. Step 4: Simplify right side
    781.41x = 819,896.87
  5. Step 5: Solve for x
    x = 819,896.87/781.41
  6. Step 6: Final answer
    x = 1,049.25

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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.