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Finding the Fourth Proportional to 877.81, 1,321.92 and 781.69

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Solution

The fourth proportional to 877.81, 1,321.92 and 781.69 is: 1,177.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.81 : 1,321.92 = 781.69 : x
  2. Step 2: Convert to fraction form
    877.81/1,321.92 = 781.69/x
  3. Step 3: Cross multiply
    877.81x = 1,321.92 × 781.69
  4. Step 4: Simplify right side
    877.81x = 1,033,322.10
  5. Step 5: Solve for x
    x = 1,033,322.10/877.81
  6. Step 6: Final answer
    x = 1,177.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.