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Finding the Fourth Proportional to 424.92, 634.25 and 394.89

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Solution

The fourth proportional to 424.92, 634.25 and 394.89 is: 589.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.92 : 634.25 = 394.89 : x
  2. Step 2: Convert to fraction form
    424.92/634.25 = 394.89/x
  3. Step 3: Cross multiply
    424.92x = 634.25 × 394.89
  4. Step 4: Simplify right side
    424.92x = 250,457.01
  5. Step 5: Solve for x
    x = 250,457.01/424.92
  6. Step 6: Final answer
    x = 589.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.