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Finding the Fourth Proportional to 596.78, 821.58 and 514.97

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Solution

The fourth proportional to 596.78, 821.58 and 514.97 is: 708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.78 : 821.58 = 514.97 : x
  2. Step 2: Convert to fraction form
    596.78/821.58 = 514.97/x
  3. Step 3: Cross multiply
    596.78x = 821.58 × 514.97
  4. Step 4: Simplify right side
    596.78x = 423,089.05
  5. Step 5: Solve for x
    x = 423,089.05/596.78
  6. Step 6: Final answer
    x = 708.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.