Home / 1,267.26-1,749.51-801.78

Finding the Fourth Proportional to 1,267.26, 1,749.51 and 801.78

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Solution

The fourth proportional to 1,267.26, 1,749.51 and 801.78 is: 1,106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.26 : 1,749.51 = 801.78 : x
  2. Step 2: Convert to fraction form
    1,267.26/1,749.51 = 801.78/x
  3. Step 3: Cross multiply
    1,267.26x = 1,749.51 × 801.78
  4. Step 4: Simplify right side
    1,267.26x = 1,402,722.13
  5. Step 5: Solve for x
    x = 1,402,722.13/1,267.26
  6. Step 6: Final answer
    x = 1,106.89

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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.