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Finding the Fourth Proportional to 599.14, 827.09 and 402.58

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Solution

The fourth proportional to 599.14, 827.09 and 402.58 is: 555.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.14 : 827.09 = 402.58 : x
  2. Step 2: Convert to fraction form
    599.14/827.09 = 402.58/x
  3. Step 3: Cross multiply
    599.14x = 827.09 × 402.58
  4. Step 4: Simplify right side
    599.14x = 332,969.89
  5. Step 5: Solve for x
    x = 332,969.89/599.14
  6. Step 6: Final answer
    x = 555.75

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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.