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Finding the Fourth Proportional to 596.94, 824.13 and 387.18

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Solution

The fourth proportional to 596.94, 824.13 and 387.18 is: 534.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.94 : 824.13 = 387.18 : x
  2. Step 2: Convert to fraction form
    596.94/824.13 = 387.18/x
  3. Step 3: Cross multiply
    596.94x = 824.13 × 387.18
  4. Step 4: Simplify right side
    596.94x = 319,086.65
  5. Step 5: Solve for x
    x = 319,086.65/596.94
  6. Step 6: Final answer
    x = 534.54

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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.