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Finding the Fourth Proportional to 404.63, 609.45 and 385.19

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Solution

The fourth proportional to 404.63, 609.45 and 385.19 is: 580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.63 : 609.45 = 385.19 : x
  2. Step 2: Convert to fraction form
    404.63/609.45 = 385.19/x
  3. Step 3: Cross multiply
    404.63x = 609.45 × 385.19
  4. Step 4: Simplify right side
    404.63x = 234,754.05
  5. Step 5: Solve for x
    x = 234,754.05/404.63
  6. Step 6: Final answer
    x = 580.17

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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.