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Finding the Fourth Proportional to 872.61, 1,201.67 and 817.02

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Solution

The fourth proportional to 872.61, 1,201.67 and 817.02 is: 1,125.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.61 : 1,201.67 = 817.02 : x
  2. Step 2: Convert to fraction form
    872.61/1,201.67 = 817.02/x
  3. Step 3: Cross multiply
    872.61x = 1,201.67 × 817.02
  4. Step 4: Simplify right side
    872.61x = 981,787.40
  5. Step 5: Solve for x
    x = 981,787.40/872.61
  6. Step 6: Final answer
    x = 1,125.12

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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.