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Finding the Fourth Proportional to 853.97, 1,176.17 and 802.94

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Solution

The fourth proportional to 853.97, 1,176.17 and 802.94 is: 1,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.97 : 1,176.17 = 802.94 : x
  2. Step 2: Convert to fraction form
    853.97/1,176.17 = 802.94/x
  3. Step 3: Cross multiply
    853.97x = 1,176.17 × 802.94
  4. Step 4: Simplify right side
    853.97x = 944,384.04
  5. Step 5: Solve for x
    x = 944,384.04/853.97
  6. Step 6: Final answer
    x = 1,105.88

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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.