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Finding the Fourth Proportional to 883.23, 1,217.29 and 781.39

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Solution

The fourth proportional to 883.23, 1,217.29 and 781.39 is: 1,076.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.23 : 1,217.29 = 781.39 : x
  2. Step 2: Convert to fraction form
    883.23/1,217.29 = 781.39/x
  3. Step 3: Cross multiply
    883.23x = 1,217.29 × 781.39
  4. Step 4: Simplify right side
    883.23x = 951,178.23
  5. Step 5: Solve for x
    x = 951,178.23/883.23
  6. Step 6: Final answer
    x = 1,076.93

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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.