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Finding the Fourth Proportional to 913.87, 1,371.26 and 427.27

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Solution

The fourth proportional to 913.87, 1,371.26 and 427.27 is: 641.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.87 : 1,371.26 = 427.27 : x
  2. Step 2: Convert to fraction form
    913.87/1,371.26 = 427.27/x
  3. Step 3: Cross multiply
    913.87x = 1,371.26 × 427.27
  4. Step 4: Simplify right side
    913.87x = 585,898.26
  5. Step 5: Solve for x
    x = 585,898.26/913.87
  6. Step 6: Final answer
    x = 641.12

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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.