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Finding the Fourth Proportional to 902.14, 1,244.01 and 802.66

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Solution

The fourth proportional to 902.14, 1,244.01 and 802.66 is: 1,106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.14 : 1,244.01 = 802.66 : x
  2. Step 2: Convert to fraction form
    902.14/1,244.01 = 802.66/x
  3. Step 3: Cross multiply
    902.14x = 1,244.01 × 802.66
  4. Step 4: Simplify right side
    902.14x = 998,514.78
  5. Step 5: Solve for x
    x = 998,514.78/902.14
  6. Step 6: Final answer
    x = 1,106.83

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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.