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Finding the Fourth Proportional to 1,269.07, 1,751.24 and 709.49

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Solution

The fourth proportional to 1,269.07, 1,751.24 and 709.49 is: 979.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.07 : 1,751.24 = 709.49 : x
  2. Step 2: Convert to fraction form
    1,269.07/1,751.24 = 709.49/x
  3. Step 3: Cross multiply
    1,269.07x = 1,751.24 × 709.49
  4. Step 4: Simplify right side
    1,269.07x = 1,242,493.42
  5. Step 5: Solve for x
    x = 1,242,493.42/1,269.07
  6. Step 6: Final answer
    x = 979.06

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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.