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Finding the Fourth Proportional to 824.93, 1,237.62 and 338.33

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Solution

The fourth proportional to 824.93, 1,237.62 and 338.33 is: 507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.93 : 1,237.62 = 338.33 : x
  2. Step 2: Convert to fraction form
    824.93/1,237.62 = 338.33/x
  3. Step 3: Cross multiply
    824.93x = 1,237.62 × 338.33
  4. Step 4: Simplify right side
    824.93x = 418,723.97
  5. Step 5: Solve for x
    x = 418,723.97/824.93
  6. Step 6: Final answer
    x = 507.59

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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.