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Finding the Fourth Proportional to 616.50, 923.84 and 486.82

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Solution

The fourth proportional to 616.50, 923.84 and 486.82 is: 729.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.50 : 923.84 = 486.82 : x
  2. Step 2: Convert to fraction form
    616.50/923.84 = 486.82/x
  3. Step 3: Cross multiply
    616.50x = 923.84 × 486.82
  4. Step 4: Simplify right side
    616.50x = 449,743.79
  5. Step 5: Solve for x
    x = 449,743.79/616.50
  6. Step 6: Final answer
    x = 729.51

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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.