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Finding the Fourth Proportional to 401.35, 598.43 and 394.06

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Solution

The fourth proportional to 401.35, 598.43 and 394.06 is: 587.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.35 : 598.43 = 394.06 : x
  2. Step 2: Convert to fraction form
    401.35/598.43 = 394.06/x
  3. Step 3: Cross multiply
    401.35x = 598.43 × 394.06
  4. Step 4: Simplify right side
    401.35x = 235,817.33
  5. Step 5: Solve for x
    x = 235,817.33/401.35
  6. Step 6: Final answer
    x = 587.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.