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Finding the Fourth Proportional to 884.13, 1,217.31 and 802.11

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Solution

The fourth proportional to 884.13, 1,217.31 and 802.11 is: 1,104.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.13 : 1,217.31 = 802.11 : x
  2. Step 2: Convert to fraction form
    884.13/1,217.31 = 802.11/x
  3. Step 3: Cross multiply
    884.13x = 1,217.31 × 802.11
  4. Step 4: Simplify right side
    884.13x = 976,418.08
  5. Step 5: Solve for x
    x = 976,418.08/884.13
  6. Step 6: Final answer
    x = 1,104.39

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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.