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Finding the Fourth Proportional to 404.18, 606.64 and 382.81

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Solution

The fourth proportional to 404.18, 606.64 and 382.81 is: 574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.18 : 606.64 = 382.81 : x
  2. Step 2: Convert to fraction form
    404.18/606.64 = 382.81/x
  3. Step 3: Cross multiply
    404.18x = 606.64 × 382.81
  4. Step 4: Simplify right side
    404.18x = 232,227.86
  5. Step 5: Solve for x
    x = 232,227.86/404.18
  6. Step 6: Final answer
    x = 574.57

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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.