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Finding the Fourth Proportional to 905.78, 1,358.19 and 418.41

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Solution

The fourth proportional to 905.78, 1,358.19 and 418.41 is: 627.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.78 : 1,358.19 = 418.41 : x
  2. Step 2: Convert to fraction form
    905.78/1,358.19 = 418.41/x
  3. Step 3: Cross multiply
    905.78x = 1,358.19 × 418.41
  4. Step 4: Simplify right side
    905.78x = 568,280.28
  5. Step 5: Solve for x
    x = 568,280.28/905.78
  6. Step 6: Final answer
    x = 627.40

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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.