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Finding the Fourth Proportional to 1,269.35, 1,751.78 and 709.80

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Solution

The fourth proportional to 1,269.35, 1,751.78 and 709.80 is: 979.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.35 : 1,751.78 = 709.80 : x
  2. Step 2: Convert to fraction form
    1,269.35/1,751.78 = 709.80/x
  3. Step 3: Cross multiply
    1,269.35x = 1,751.78 × 709.80
  4. Step 4: Simplify right side
    1,269.35x = 1,243,419.44
  5. Step 5: Solve for x
    x = 1,243,419.44/1,269.35
  6. Step 6: Final answer
    x = 979.57

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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.