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Finding the Fourth Proportional to 599.81, 827.29 and 400.55

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Solution

The fourth proportional to 599.81, 827.29 and 400.55 is: 552.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.81 : 827.29 = 400.55 : x
  2. Step 2: Convert to fraction form
    599.81/827.29 = 400.55/x
  3. Step 3: Cross multiply
    599.81x = 827.29 × 400.55
  4. Step 4: Simplify right side
    599.81x = 331,371.01
  5. Step 5: Solve for x
    x = 331,371.01/599.81
  6. Step 6: Final answer
    x = 552.46

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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.