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Finding the Fourth Proportional to 905.34, 1,358.00 and 472.39

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Solution

The fourth proportional to 905.34, 1,358.00 and 472.39 is: 708.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.34 : 1,358.00 = 472.39 : x
  2. Step 2: Convert to fraction form
    905.34/1,358.00 = 472.39/x
  3. Step 3: Cross multiply
    905.34x = 1,358.00 × 472.39
  4. Step 4: Simplify right side
    905.34x = 641,506.80
  5. Step 5: Solve for x
    x = 641,506.80/905.34
  6. Step 6: Final answer
    x = 708.59

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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.