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Finding the Fourth Proportional to 599.61, 827.11 and 378.17

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Solution

The fourth proportional to 599.61, 827.11 and 378.17 is: 521.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.61 : 827.11 = 378.17 : x
  2. Step 2: Convert to fraction form
    599.61/827.11 = 378.17/x
  3. Step 3: Cross multiply
    599.61x = 827.11 × 378.17
  4. Step 4: Simplify right side
    599.61x = 312,788.19
  5. Step 5: Solve for x
    x = 312,788.19/599.61
  6. Step 6: Final answer
    x = 521.65

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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.