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Finding the Fourth Proportional to 942.99, 1,414.45 and 422.85

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Solution

The fourth proportional to 942.99, 1,414.45 and 422.85 is: 634.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.99 : 1,414.45 = 422.85 : x
  2. Step 2: Convert to fraction form
    942.99/1,414.45 = 422.85/x
  3. Step 3: Cross multiply
    942.99x = 1,414.45 × 422.85
  4. Step 4: Simplify right side
    942.99x = 598,100.18
  5. Step 5: Solve for x
    x = 598,100.18/942.99
  6. Step 6: Final answer
    x = 634.26

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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.