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Finding the Fourth Proportional to 424.73, 635.09 and 302.62

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Solution

The fourth proportional to 424.73, 635.09 and 302.62 is: 452.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.73 : 635.09 = 302.62 : x
  2. Step 2: Convert to fraction form
    424.73/635.09 = 302.62/x
  3. Step 3: Cross multiply
    424.73x = 635.09 × 302.62
  4. Step 4: Simplify right side
    424.73x = 192,190.10
  5. Step 5: Solve for x
    x = 192,190.10/424.73
  6. Step 6: Final answer
    x = 452.50

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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.