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Finding the Fourth Proportional to 1,252.92, 1,728.91 and 721.80

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Solution

The fourth proportional to 1,252.92, 1,728.91 and 721.80 is: 996.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.92 : 1,728.91 = 721.80 : x
  2. Step 2: Convert to fraction form
    1,252.92/1,728.91 = 721.80/x
  3. Step 3: Cross multiply
    1,252.92x = 1,728.91 × 721.80
  4. Step 4: Simplify right side
    1,252.92x = 1,247,927.24
  5. Step 5: Solve for x
    x = 1,247,927.24/1,252.92
  6. Step 6: Final answer
    x = 996.02

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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.