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Finding the Fourth Proportional to 424.92, 635.86 and 314.84

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Solution

The fourth proportional to 424.92, 635.86 and 314.84 is: 471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.92 : 635.86 = 314.84 : x
  2. Step 2: Convert to fraction form
    424.92/635.86 = 314.84/x
  3. Step 3: Cross multiply
    424.92x = 635.86 × 314.84
  4. Step 4: Simplify right side
    424.92x = 200,194.16
  5. Step 5: Solve for x
    x = 200,194.16/424.92
  6. Step 6: Final answer
    x = 471.13

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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.