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Finding the Fourth Proportional to 802.71, 1,102.41 and 671.49

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Solution

The fourth proportional to 802.71, 1,102.41 and 671.49 is: 922.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.71 : 1,102.41 = 671.49 : x
  2. Step 2: Convert to fraction form
    802.71/1,102.41 = 671.49/x
  3. Step 3: Cross multiply
    802.71x = 1,102.41 × 671.49
  4. Step 4: Simplify right side
    802.71x = 740,257.29
  5. Step 5: Solve for x
    x = 740,257.29/802.71
  6. Step 6: Final answer
    x = 922.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.