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Finding the Fourth Proportional to 650.78, 976.18 and 326.08

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Solution

The fourth proportional to 650.78, 976.18 and 326.08 is: 489.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.78 : 976.18 = 326.08 : x
  2. Step 2: Convert to fraction form
    650.78/976.18 = 326.08/x
  3. Step 3: Cross multiply
    650.78x = 976.18 × 326.08
  4. Step 4: Simplify right side
    650.78x = 318,309.52
  5. Step 5: Solve for x
    x = 318,309.52/650.78
  6. Step 6: Final answer
    x = 489.12

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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.