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Finding the Fourth Proportional to 1,267.98, 1,749.87 and 826.26

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Solution

The fourth proportional to 1,267.98, 1,749.87 and 826.26 is: 1,140.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.98 : 1,749.87 = 826.26 : x
  2. Step 2: Convert to fraction form
    1,267.98/1,749.87 = 826.26/x
  3. Step 3: Cross multiply
    1,267.98x = 1,749.87 × 826.26
  4. Step 4: Simplify right side
    1,267.98x = 1,445,847.59
  5. Step 5: Solve for x
    x = 1,445,847.59/1,267.98
  6. Step 6: Final answer
    x = 1,140.28

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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.