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Finding the Fourth Proportional to 913.96, 1,260.44 and 819.73

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Solution

The fourth proportional to 913.96, 1,260.44 and 819.73 is: 1,130.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.96 : 1,260.44 = 819.73 : x
  2. Step 2: Convert to fraction form
    913.96/1,260.44 = 819.73/x
  3. Step 3: Cross multiply
    913.96x = 1,260.44 × 819.73
  4. Step 4: Simplify right side
    913.96x = 1,033,214.18
  5. Step 5: Solve for x
    x = 1,033,214.18/913.96
  6. Step 6: Final answer
    x = 1,130.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.