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Finding the Fourth Proportional to 1,171.25, 1,756.07 and 709.15

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Solution

The fourth proportional to 1,171.25, 1,756.07 and 709.15 is: 1,063.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.25 : 1,756.07 = 709.15 : x
  2. Step 2: Convert to fraction form
    1,171.25/1,756.07 = 709.15/x
  3. Step 3: Cross multiply
    1,171.25x = 1,756.07 × 709.15
  4. Step 4: Simplify right side
    1,171.25x = 1,245,304.71
  5. Step 5: Solve for x
    x = 1,245,304.71/1,171.25
  6. Step 6: Final answer
    x = 1,063.23

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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.