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Finding the Fourth Proportional to 1,792.97, 2,690.10 and 805.71

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Solution

The fourth proportional to 1,792.97, 2,690.10 and 805.71 is: 1,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.97 : 2,690.10 = 805.71 : x
  2. Step 2: Convert to fraction form
    1,792.97/2,690.10 = 805.71/x
  3. Step 3: Cross multiply
    1,792.97x = 2,690.10 × 805.71
  4. Step 4: Simplify right side
    1,792.97x = 2,167,440.47
  5. Step 5: Solve for x
    x = 2,167,440.47/1,792.97
  6. Step 6: Final answer
    x = 1,208.86

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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.