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Finding the Fourth Proportional to 404.14, 608.70 and 384.70

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Solution

The fourth proportional to 404.14, 608.70 and 384.70 is: 579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.14 : 608.70 = 384.70 : x
  2. Step 2: Convert to fraction form
    404.14/608.70 = 384.70/x
  3. Step 3: Cross multiply
    404.14x = 608.70 × 384.70
  4. Step 4: Simplify right side
    404.14x = 234,161.92
  5. Step 5: Solve for x
    x = 234,161.92/404.14
  6. Step 6: Final answer
    x = 579.42

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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.