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Finding the Fourth Proportional to 437.14, 658.33 and 394.36

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Solution

The fourth proportional to 437.14, 658.33 and 394.36 is: 593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.14 : 658.33 = 394.36 : x
  2. Step 2: Convert to fraction form
    437.14/658.33 = 394.36/x
  3. Step 3: Cross multiply
    437.14x = 658.33 × 394.36
  4. Step 4: Simplify right side
    437.14x = 259,619.02
  5. Step 5: Solve for x
    x = 259,619.02/437.14
  6. Step 6: Final answer
    x = 593.90

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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.