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Finding the Fourth Proportional to 404.85, 559.08 and 389.82

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Solution

The fourth proportional to 404.85, 559.08 and 389.82 is: 538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.85 : 559.08 = 389.82 : x
  2. Step 2: Convert to fraction form
    404.85/559.08 = 389.82/x
  3. Step 3: Cross multiply
    404.85x = 559.08 × 389.82
  4. Step 4: Simplify right side
    404.85x = 217,940.57
  5. Step 5: Solve for x
    x = 217,940.57/404.85
  6. Step 6: Final answer
    x = 538.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.