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Finding the Fourth Proportional to 976.61, 1,464.92 and 327.35

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Solution

The fourth proportional to 976.61, 1,464.92 and 327.35 is: 491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.61 : 1,464.92 = 327.35 : x
  2. Step 2: Convert to fraction form
    976.61/1,464.92 = 327.35/x
  3. Step 3: Cross multiply
    976.61x = 1,464.92 × 327.35
  4. Step 4: Simplify right side
    976.61x = 479,532.60
  5. Step 5: Solve for x
    x = 479,532.60/976.61
  6. Step 6: Final answer
    x = 491.02

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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.