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Finding the Fourth Proportional to 599.28, 827.04 and 402.96

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Solution

The fourth proportional to 599.28, 827.04 and 402.96 is: 556.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.28 : 827.04 = 402.96 : x
  2. Step 2: Convert to fraction form
    599.28/827.04 = 402.96/x
  3. Step 3: Cross multiply
    599.28x = 827.04 × 402.96
  4. Step 4: Simplify right side
    599.28x = 333,264.04
  5. Step 5: Solve for x
    x = 333,264.04/599.28
  6. Step 6: Final answer
    x = 556.11

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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.