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Finding the Fourth Proportional to 616.82, 924.81 and 324.49

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Solution

The fourth proportional to 616.82, 924.81 and 324.49 is: 486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.82 : 924.81 = 324.49 : x
  2. Step 2: Convert to fraction form
    616.82/924.81 = 324.49/x
  3. Step 3: Cross multiply
    616.82x = 924.81 × 324.49
  4. Step 4: Simplify right side
    616.82x = 300,091.60
  5. Step 5: Solve for x
    x = 300,091.60/616.82
  6. Step 6: Final answer
    x = 486.51

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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.