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Finding the Fourth Proportional to 1,265.14, 1,893.76 and 819.81

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Solution

The fourth proportional to 1,265.14, 1,893.76 and 819.81 is: 1,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.14 : 1,893.76 = 819.81 : x
  2. Step 2: Convert to fraction form
    1,265.14/1,893.76 = 819.81/x
  3. Step 3: Cross multiply
    1,265.14x = 1,893.76 × 819.81
  4. Step 4: Simplify right side
    1,265.14x = 1,552,523.39
  5. Step 5: Solve for x
    x = 1,552,523.39/1,265.14
  6. Step 6: Final answer
    x = 1,227.16

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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.