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Finding the Fourth Proportional to 824.92, 1,237.62 and 478.16

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Solution

The fourth proportional to 824.92, 1,237.62 and 478.16 is: 717.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.92 : 1,237.62 = 478.16 : x
  2. Step 2: Convert to fraction form
    824.92/1,237.62 = 478.16/x
  3. Step 3: Cross multiply
    824.92x = 1,237.62 × 478.16
  4. Step 4: Simplify right side
    824.92x = 591,780.38
  5. Step 5: Solve for x
    x = 591,780.38/824.92
  6. Step 6: Final answer
    x = 717.38

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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.