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Finding the Fourth Proportional to 616.33, 922.41 and 513.79

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Solution

The fourth proportional to 616.33, 922.41 and 513.79 is: 768.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.33 : 922.41 = 513.79 : x
  2. Step 2: Convert to fraction form
    616.33/922.41 = 513.79/x
  3. Step 3: Cross multiply
    616.33x = 922.41 × 513.79
  4. Step 4: Simplify right side
    616.33x = 473,925.03
  5. Step 5: Solve for x
    x = 473,925.03/616.33
  6. Step 6: Final answer
    x = 768.95

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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.