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Finding the Fourth Proportional to 599.16, 827.24 and 378.24

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Solution

The fourth proportional to 599.16, 827.24 and 378.24 is: 522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.16 : 827.24 = 378.24 : x
  2. Step 2: Convert to fraction form
    599.16/827.24 = 378.24/x
  3. Step 3: Cross multiply
    599.16x = 827.24 × 378.24
  4. Step 4: Simplify right side
    599.16x = 312,895.26
  5. Step 5: Solve for x
    x = 312,895.26/599.16
  6. Step 6: Final answer
    x = 522.22

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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.