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Finding the Fourth Proportional to 1,169.21, 1,750.93 and 757.08

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Solution

The fourth proportional to 1,169.21, 1,750.93 and 757.08 is: 1,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.21 : 1,750.93 = 757.08 : x
  2. Step 2: Convert to fraction form
    1,169.21/1,750.93 = 757.08/x
  3. Step 3: Cross multiply
    1,169.21x = 1,750.93 × 757.08
  4. Step 4: Simplify right side
    1,169.21x = 1,325,594.08
  5. Step 5: Solve for x
    x = 1,325,594.08/1,169.21
  6. Step 6: Final answer
    x = 1,133.75

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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.