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Finding the Fourth Proportional to 1,751.55, 2,626.60 and 776.96

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Solution

The fourth proportional to 1,751.55, 2,626.60 and 776.96 is: 1,165.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.55 : 2,626.60 = 776.96 : x
  2. Step 2: Convert to fraction form
    1,751.55/2,626.60 = 776.96/x
  3. Step 3: Cross multiply
    1,751.55x = 2,626.60 × 776.96
  4. Step 4: Simplify right side
    1,751.55x = 2,040,759.25
  5. Step 5: Solve for x
    x = 2,040,759.25/1,751.55
  6. Step 6: Final answer
    x = 1,165.12

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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.