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Finding the Fourth Proportional to 1,391.97, 1,920.92 and 802.55

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Solution

The fourth proportional to 1,391.97, 1,920.92 and 802.55 is: 1,107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.97 : 1,920.92 = 802.55 : x
  2. Step 2: Convert to fraction form
    1,391.97/1,920.92 = 802.55/x
  3. Step 3: Cross multiply
    1,391.97x = 1,920.92 × 802.55
  4. Step 4: Simplify right side
    1,391.97x = 1,541,624.74
  5. Step 5: Solve for x
    x = 1,541,624.74/1,391.97
  6. Step 6: Final answer
    x = 1,107.51

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1.5x scale

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.