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Finding the Fourth Proportional to 616.44, 923.31 and 514.38

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Solution

The fourth proportional to 616.44, 923.31 and 514.38 is: 770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.44 : 923.31 = 514.38 : x
  2. Step 2: Convert to fraction form
    616.44/923.31 = 514.38/x
  3. Step 3: Cross multiply
    616.44x = 923.31 × 514.38
  4. Step 4: Simplify right side
    616.44x = 474,932.20
  5. Step 5: Solve for x
    x = 474,932.20/616.44
  6. Step 6: Final answer
    x = 770.44

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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.