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Finding the Fourth Proportional to 404.38, 607.38 and 394.66

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Solution

The fourth proportional to 404.38, 607.38 and 394.66 is: 592.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.38 : 607.38 = 394.66 : x
  2. Step 2: Convert to fraction form
    404.38/607.38 = 394.66/x
  3. Step 3: Cross multiply
    404.38x = 607.38 × 394.66
  4. Step 4: Simplify right side
    404.38x = 239,708.59
  5. Step 5: Solve for x
    x = 239,708.59/404.38
  6. Step 6: Final answer
    x = 592.78

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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.