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Finding the Fourth Proportional to 824.10, 1,236.19 and 458.61

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Solution

The fourth proportional to 824.10, 1,236.19 and 458.61 is: 687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.10 : 1,236.19 = 458.61 : x
  2. Step 2: Convert to fraction form
    824.10/1,236.19 = 458.61/x
  3. Step 3: Cross multiply
    824.10x = 1,236.19 × 458.61
  4. Step 4: Simplify right side
    824.10x = 566,929.84
  5. Step 5: Solve for x
    x = 566,929.84/824.10
  6. Step 6: Final answer
    x = 687.94

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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.