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Finding the Fourth Proportional to 817.92, 1,224 and 721.92

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Solution

The fourth proportional to 817.92, 1,224 and 721.92 is: 1,080.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.92 : 1,224 = 721.92 : x
  2. Step 2: Convert to fraction form
    817.92/1,224 = 721.92/x
  3. Step 3: Cross multiply
    817.92x = 1,224 × 721.92
  4. Step 4: Simplify right side
    817.92x = 883,630.08
  5. Step 5: Solve for x
    x = 883,630.08/817.92
  6. Step 6: Final answer
    x = 1,080.34

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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.