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Finding the Fourth Proportional to 824.84, 1,242.16 and 717.92

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Solution

The fourth proportional to 824.84, 1,242.16 and 717.92 is: 1,081.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.84 : 1,242.16 = 717.92 : x
  2. Step 2: Convert to fraction form
    824.84/1,242.16 = 717.92/x
  3. Step 3: Cross multiply
    824.84x = 1,242.16 × 717.92
  4. Step 4: Simplify right side
    824.84x = 891,767.92
  5. Step 5: Solve for x
    x = 891,767.92/824.84
  6. Step 6: Final answer
    x = 1,081.14

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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.