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Finding the Fourth Proportional to 1,727.91, 2,591.42 and 802.56

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Solution

The fourth proportional to 1,727.91, 2,591.42 and 802.56 is: 1,203.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.91 : 2,591.42 = 802.56 : x
  2. Step 2: Convert to fraction form
    1,727.91/2,591.42 = 802.56/x
  3. Step 3: Cross multiply
    1,727.91x = 2,591.42 × 802.56
  4. Step 4: Simplify right side
    1,727.91x = 2,079,770.04
  5. Step 5: Solve for x
    x = 2,079,770.04/1,727.91
  6. Step 6: Final answer
    x = 1,203.63

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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.