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Finding the Fourth Proportional to 489.96, 732.20 and 397.62

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Solution

The fourth proportional to 489.96, 732.20 and 397.62 is: 594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.96 : 732.20 = 397.62 : x
  2. Step 2: Convert to fraction form
    489.96/732.20 = 397.62/x
  3. Step 3: Cross multiply
    489.96x = 732.20 × 397.62
  4. Step 4: Simplify right side
    489.96x = 291,135.38
  5. Step 5: Solve for x
    x = 291,135.38/489.96
  6. Step 6: Final answer
    x = 594.20

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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.