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Finding the Fourth Proportional to 423.92, 635.33 and 320.90

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Solution

The fourth proportional to 423.92, 635.33 and 320.90 is: 480.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.92 : 635.33 = 320.90 : x
  2. Step 2: Convert to fraction form
    423.92/635.33 = 320.90/x
  3. Step 3: Cross multiply
    423.92x = 635.33 × 320.90
  4. Step 4: Simplify right side
    423.92x = 203,875.02
  5. Step 5: Solve for x
    x = 203,875.02/423.92
  6. Step 6: Final answer
    x = 480.93

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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.