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Finding the Fourth Proportional to 913.73, 1,370.94 and 548.78

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Solution

The fourth proportional to 913.73, 1,370.94 and 548.78 is: 823.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.73 : 1,370.94 = 548.78 : x
  2. Step 2: Convert to fraction form
    913.73/1,370.94 = 548.78/x
  3. Step 3: Cross multiply
    913.73x = 1,370.94 × 548.78
  4. Step 4: Simplify right side
    913.73x = 752,337.60
  5. Step 5: Solve for x
    x = 752,337.60/913.73
  6. Step 6: Final answer
    x = 823.37

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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.