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Finding the Fourth Proportional to 905.67, 1,358.78 and 289.46

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Solution

The fourth proportional to 905.67, 1,358.78 and 289.46 is: 434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.67 : 1,358.78 = 289.46 : x
  2. Step 2: Convert to fraction form
    905.67/1,358.78 = 289.46/x
  3. Step 3: Cross multiply
    905.67x = 1,358.78 × 289.46
  4. Step 4: Simplify right side
    905.67x = 393,314.41
  5. Step 5: Solve for x
    x = 393,314.41/905.67
  6. Step 6: Final answer
    x = 434.28

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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.