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Finding the Fourth Proportional to 425.08, 636.92 and 322.24

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Solution

The fourth proportional to 425.08, 636.92 and 322.24 is: 482.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.08 : 636.92 = 322.24 : x
  2. Step 2: Convert to fraction form
    425.08/636.92 = 322.24/x
  3. Step 3: Cross multiply
    425.08x = 636.92 × 322.24
  4. Step 4: Simplify right side
    425.08x = 205,241.10
  5. Step 5: Solve for x
    x = 205,241.10/425.08
  6. Step 6: Final answer
    x = 482.83

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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.