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Finding the Fourth Proportional to 913.48, 1,371.43 and 543.97

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Solution

The fourth proportional to 913.48, 1,371.43 and 543.97 is: 816.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.48 : 1,371.43 = 543.97 : x
  2. Step 2: Convert to fraction form
    913.48/1,371.43 = 543.97/x
  3. Step 3: Cross multiply
    913.48x = 1,371.43 × 543.97
  4. Step 4: Simplify right side
    913.48x = 746,016.78
  5. Step 5: Solve for x
    x = 746,016.78/913.48
  6. Step 6: Final answer
    x = 816.68

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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.