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Finding the Fourth Proportional to 616.06, 922.16 and 326.62

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Solution

The fourth proportional to 616.06, 922.16 and 326.62 is: 488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.06 : 922.16 = 326.62 : x
  2. Step 2: Convert to fraction form
    616.06/922.16 = 326.62/x
  3. Step 3: Cross multiply
    616.06x = 922.16 × 326.62
  4. Step 4: Simplify right side
    616.06x = 301,195.90
  5. Step 5: Solve for x
    x = 301,195.90/616.06
  6. Step 6: Final answer
    x = 488.91

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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.