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Finding the Fourth Proportional to 616.73, 923.67 and 291.38

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Solution

The fourth proportional to 616.73, 923.67 and 291.38 is: 436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.73 : 923.67 = 291.38 : x
  2. Step 2: Convert to fraction form
    616.73/923.67 = 291.38/x
  3. Step 3: Cross multiply
    616.73x = 923.67 × 291.38
  4. Step 4: Simplify right side
    616.73x = 269,134.35
  5. Step 5: Solve for x
    x = 269,134.35/616.73
  6. Step 6: Final answer
    x = 436.39

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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.