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Finding the Fourth Proportional to 824.24, 1,236.82 and 459.24

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Solution

The fourth proportional to 824.24, 1,236.82 and 459.24 is: 689.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.24 : 1,236.82 = 459.24 : x
  2. Step 2: Convert to fraction form
    824.24/1,236.82 = 459.24/x
  3. Step 3: Cross multiply
    824.24x = 1,236.82 × 459.24
  4. Step 4: Simplify right side
    824.24x = 567,997.22
  5. Step 5: Solve for x
    x = 567,997.22/824.24
  6. Step 6: Final answer
    x = 689.12

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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.