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Finding the Fourth Proportional to 905.31, 1,358.42 and 488.97

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Solution

The fourth proportional to 905.31, 1,358.42 and 488.97 is: 733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.31 : 1,358.42 = 488.97 : x
  2. Step 2: Convert to fraction form
    905.31/1,358.42 = 488.97/x
  3. Step 3: Cross multiply
    905.31x = 1,358.42 × 488.97
  4. Step 4: Simplify right side
    905.31x = 664,224.18
  5. Step 5: Solve for x
    x = 664,224.18/905.31
  6. Step 6: Final answer
    x = 733.70

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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.