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Finding the Fourth Proportional to 976.08, 1,464.06 and 326.64

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Solution

The fourth proportional to 976.08, 1,464.06 and 326.64 is: 489.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.08 : 1,464.06 = 326.64 : x
  2. Step 2: Convert to fraction form
    976.08/1,464.06 = 326.64/x
  3. Step 3: Cross multiply
    976.08x = 1,464.06 × 326.64
  4. Step 4: Simplify right side
    976.08x = 478,220.56
  5. Step 5: Solve for x
    x = 478,220.56/976.08
  6. Step 6: Final answer
    x = 489.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.