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Finding the Fourth Proportional to 976.79, 1,464.71 and 327.06

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Solution

The fourth proportional to 976.79, 1,464.71 and 327.06 is: 490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.79 : 1,464.71 = 327.06 : x
  2. Step 2: Convert to fraction form
    976.79/1,464.71 = 327.06/x
  3. Step 3: Cross multiply
    976.79x = 1,464.71 × 327.06
  4. Step 4: Simplify right side
    976.79x = 479,046.42
  5. Step 5: Solve for x
    x = 479,046.42/976.79
  6. Step 6: Final answer
    x = 490.43

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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.