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Finding the Fourth Proportional to 1,089.81, 1,503.09 and 794.97

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Solution

The fourth proportional to 1,089.81, 1,503.09 and 794.97 is: 1,096.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.81 : 1,503.09 = 794.97 : x
  2. Step 2: Convert to fraction form
    1,089.81/1,503.09 = 794.97/x
  3. Step 3: Cross multiply
    1,089.81x = 1,503.09 × 794.97
  4. Step 4: Simplify right side
    1,089.81x = 1,194,911.46
  5. Step 5: Solve for x
    x = 1,194,911.46/1,089.81
  6. Step 6: Final answer
    x = 1,096.44

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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.