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Finding the Fourth Proportional to 599.09, 827.01 and 397.19

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Solution

The fourth proportional to 599.09, 827.01 and 397.19 is: 548.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.09 : 827.01 = 397.19 : x
  2. Step 2: Convert to fraction form
    599.09/827.01 = 397.19/x
  3. Step 3: Cross multiply
    599.09x = 827.01 × 397.19
  4. Step 4: Simplify right side
    599.09x = 328,480.10
  5. Step 5: Solve for x
    x = 328,480.10/599.09
  6. Step 6: Final answer
    x = 548.30

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Double scale
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1.5x scale

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.