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Finding the Fourth Proportional to 616.78, 923.95 and 323.84

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Solution

The fourth proportional to 616.78, 923.95 and 323.84 is: 485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.78 : 923.95 = 323.84 : x
  2. Step 2: Convert to fraction form
    616.78/923.95 = 323.84/x
  3. Step 3: Cross multiply
    616.78x = 923.95 × 323.84
  4. Step 4: Simplify right side
    616.78x = 299,214.68
  5. Step 5: Solve for x
    x = 299,214.68/616.78
  6. Step 6: Final answer
    x = 485.12

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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.