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Finding the Fourth Proportional to 938.92, 1,401.44 and 830.80

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Solution

The fourth proportional to 938.92, 1,401.44 and 830.80 is: 1,240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.92 : 1,401.44 = 830.80 : x
  2. Step 2: Convert to fraction form
    938.92/1,401.44 = 830.80/x
  3. Step 3: Cross multiply
    938.92x = 1,401.44 × 830.80
  4. Step 4: Simplify right side
    938.92x = 1,164,316.35
  5. Step 5: Solve for x
    x = 1,164,316.35/938.92
  6. Step 6: Final answer
    x = 1,240.06

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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.