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Finding the Fourth Proportional to 424.50, 635.94 and 342.42

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Solution

The fourth proportional to 424.50, 635.94 and 342.42 is: 512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.50 : 635.94 = 342.42 : x
  2. Step 2: Convert to fraction form
    424.50/635.94 = 342.42/x
  3. Step 3: Cross multiply
    424.50x = 635.94 × 342.42
  4. Step 4: Simplify right side
    424.50x = 217,758.57
  5. Step 5: Solve for x
    x = 217,758.57/424.50
  6. Step 6: Final answer
    x = 512.98

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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.