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Finding the Fourth Proportional to 616.42, 923.73 and 486.73

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Solution

The fourth proportional to 616.42, 923.73 and 486.73 is: 729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.42 : 923.73 = 486.73 : x
  2. Step 2: Convert to fraction form
    616.42/923.73 = 486.73/x
  3. Step 3: Cross multiply
    616.42x = 923.73 × 486.73
  4. Step 4: Simplify right side
    616.42x = 449,607.10
  5. Step 5: Solve for x
    x = 449,607.10/616.42
  6. Step 6: Final answer
    x = 729.38

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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.