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Finding the Fourth Proportional to 942.94, 1,414.72 and 423.30

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Solution

The fourth proportional to 942.94, 1,414.72 and 423.30 is: 635.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.94 : 1,414.72 = 423.30 : x
  2. Step 2: Convert to fraction form
    942.94/1,414.72 = 423.30/x
  3. Step 3: Cross multiply
    942.94x = 1,414.72 × 423.30
  4. Step 4: Simplify right side
    942.94x = 598,850.98
  5. Step 5: Solve for x
    x = 598,850.98/942.94
  6. Step 6: Final answer
    x = 635.09

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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.