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Finding the Fourth Proportional to 938.73, 1,401.40 and 815.75

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Solution

The fourth proportional to 938.73, 1,401.40 and 815.75 is: 1,217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.73 : 1,401.40 = 815.75 : x
  2. Step 2: Convert to fraction form
    938.73/1,401.40 = 815.75/x
  3. Step 3: Cross multiply
    938.73x = 1,401.40 × 815.75
  4. Step 4: Simplify right side
    938.73x = 1,143,192.05
  5. Step 5: Solve for x
    x = 1,143,192.05/938.73
  6. Step 6: Final answer
    x = 1,217.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.