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Finding the Fourth Proportional to 824.84, 1,138.02 and 514.52

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Solution

The fourth proportional to 824.84, 1,138.02 and 514.52 is: 709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.84 : 1,138.02 = 514.52 : x
  2. Step 2: Convert to fraction form
    824.84/1,138.02 = 514.52/x
  3. Step 3: Cross multiply
    824.84x = 1,138.02 × 514.52
  4. Step 4: Simplify right side
    824.84x = 585,534.05
  5. Step 5: Solve for x
    x = 585,534.05/824.84
  6. Step 6: Final answer
    x = 709.88

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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.