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Finding the Fourth Proportional to 1,091.34, 1,637.55 and 819.78

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Solution

The fourth proportional to 1,091.34, 1,637.55 and 819.78 is: 1,230.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.34 : 1,637.55 = 819.78 : x
  2. Step 2: Convert to fraction form
    1,091.34/1,637.55 = 819.78/x
  3. Step 3: Cross multiply
    1,091.34x = 1,637.55 × 819.78
  4. Step 4: Simplify right side
    1,091.34x = 1,342,430.74
  5. Step 5: Solve for x
    x = 1,342,430.74/1,091.34
  6. Step 6: Final answer
    x = 1,230.08

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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.