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Finding the Fourth Proportional to 1,691.49, 2,537.76 and 802.71

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Solution

The fourth proportional to 1,691.49, 2,537.76 and 802.71 is: 1,204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.49 : 2,537.76 = 802.71 : x
  2. Step 2: Convert to fraction form
    1,691.49/2,537.76 = 802.71/x
  3. Step 3: Cross multiply
    1,691.49x = 2,537.76 × 802.71
  4. Step 4: Simplify right side
    1,691.49x = 2,037,085.33
  5. Step 5: Solve for x
    x = 2,037,085.33/1,691.49
  6. Step 6: Final answer
    x = 1,204.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.