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Finding the Fourth Proportional to 403.97, 605.06 and 394.15

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Solution

The fourth proportional to 403.97, 605.06 and 394.15 is: 590.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.97 : 605.06 = 394.15 : x
  2. Step 2: Convert to fraction form
    403.97/605.06 = 394.15/x
  3. Step 3: Cross multiply
    403.97x = 605.06 × 394.15
  4. Step 4: Simplify right side
    403.97x = 238,486.14
  5. Step 5: Solve for x
    x = 238,486.14/403.97
  6. Step 6: Final answer
    x = 590.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.