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Finding the Fourth Proportional to 828.84, 1,248.18 and 721.92

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Solution

The fourth proportional to 828.84, 1,248.18 and 721.92 is: 1,087.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.84 : 1,248.18 = 721.92 : x
  2. Step 2: Convert to fraction form
    828.84/1,248.18 = 721.92/x
  3. Step 3: Cross multiply
    828.84x = 1,248.18 × 721.92
  4. Step 4: Simplify right side
    828.84x = 901,086.11
  5. Step 5: Solve for x
    x = 901,086.11/828.84
  6. Step 6: Final answer
    x = 1,087.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.