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Finding the Fourth Proportional to 1,391.52, 1,920.96 and 868.32

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Solution

The fourth proportional to 1,391.52, 1,920.96 and 868.32 is: 1,198.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.52 : 1,920.96 = 868.32 : x
  2. Step 2: Convert to fraction form
    1,391.52/1,920.96 = 868.32/x
  3. Step 3: Cross multiply
    1,391.52x = 1,920.96 × 868.32
  4. Step 4: Simplify right side
    1,391.52x = 1,668,007.99
  5. Step 5: Solve for x
    x = 1,668,007.99/1,391.52
  6. Step 6: Final answer
    x = 1,198.69

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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.