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Finding the Fourth Proportional to 1,009.76, 1,394.09 and 800.78

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Solution

The fourth proportional to 1,009.76, 1,394.09 and 800.78 is: 1,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.76 : 1,394.09 = 800.78 : x
  2. Step 2: Convert to fraction form
    1,009.76/1,394.09 = 800.78/x
  3. Step 3: Cross multiply
    1,009.76x = 1,394.09 × 800.78
  4. Step 4: Simplify right side
    1,009.76x = 1,116,348.42
  5. Step 5: Solve for x
    x = 1,116,348.42/1,009.76
  6. Step 6: Final answer
    x = 1,105.56

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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.