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Finding the Fourth Proportional to 596.91, 824.03 and 387.39

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Solution

The fourth proportional to 596.91, 824.03 and 387.39 is: 534.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.91 : 824.03 = 387.39 : x
  2. Step 2: Convert to fraction form
    596.91/824.03 = 387.39/x
  3. Step 3: Cross multiply
    596.91x = 824.03 × 387.39
  4. Step 4: Simplify right side
    596.91x = 319,220.98
  5. Step 5: Solve for x
    x = 319,220.98/596.91
  6. Step 6: Final answer
    x = 534.79

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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.