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Finding the Fourth Proportional to 824.74, 1,237.62 and 459.78

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Solution

The fourth proportional to 824.74, 1,237.62 and 459.78 is: 689.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.74 : 1,237.62 = 459.78 : x
  2. Step 2: Convert to fraction form
    824.74/1,237.62 = 459.78/x
  3. Step 3: Cross multiply
    824.74x = 1,237.62 × 459.78
  4. Step 4: Simplify right side
    824.74x = 569,032.92
  5. Step 5: Solve for x
    x = 569,032.92/824.74
  6. Step 6: Final answer
    x = 689.95

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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.