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Finding the Fourth Proportional to 397.08, 599.45 and 394.92

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Solution

The fourth proportional to 397.08, 599.45 and 394.92 is: 596.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.08 : 599.45 = 394.92 : x
  2. Step 2: Convert to fraction form
    397.08/599.45 = 394.92/x
  3. Step 3: Cross multiply
    397.08x = 599.45 × 394.92
  4. Step 4: Simplify right side
    397.08x = 236,734.79
  5. Step 5: Solve for x
    x = 236,734.79/397.08
  6. Step 6: Final answer
    x = 596.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.