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Finding the Fourth Proportional to 599.63, 827.73 and 397.73

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Solution

The fourth proportional to 599.63, 827.73 and 397.73 is: 549.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.63 : 827.73 = 397.73 : x
  2. Step 2: Convert to fraction form
    599.63/827.73 = 397.73/x
  3. Step 3: Cross multiply
    599.63x = 827.73 × 397.73
  4. Step 4: Simplify right side
    599.63x = 329,215.12
  5. Step 5: Solve for x
    x = 329,215.12/599.63
  6. Step 6: Final answer
    x = 549.04

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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.