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Finding the Fourth Proportional to 976, 1,464.18 and 326.56

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Solution

The fourth proportional to 976, 1,464.18 and 326.56 is: 489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    976 : 1,464.18 = 326.56 : x
  2. Step 2: Convert to fraction form
    976/1,464.18 = 326.56/x
  3. Step 3: Cross multiply
    976x = 1,464.18 × 326.56
  4. Step 4: Simplify right side
    976x = 478,142.62
  5. Step 5: Solve for x
    x = 478,142.62/976
  6. Step 6: Final answer
    x = 489.90

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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.