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Finding the Fourth Proportional to 424.12, 635.02 and 362.41

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Solution

The fourth proportional to 424.12, 635.02 and 362.41 is: 542.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.12 : 635.02 = 362.41 : x
  2. Step 2: Convert to fraction form
    424.12/635.02 = 362.41/x
  3. Step 3: Cross multiply
    424.12x = 635.02 × 362.41
  4. Step 4: Simplify right side
    424.12x = 230,137.60
  5. Step 5: Solve for x
    x = 230,137.60/424.12
  6. Step 6: Final answer
    x = 542.62

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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.