Home / 1,284.80-1,776.48-1,120.78

Finding the Fourth Proportional to 1,284.80, 1,776.48 and 1,120.78

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Solution

The fourth proportional to 1,284.80, 1,776.48 and 1,120.78 is: 1,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.80 : 1,776.48 = 1,120.78 : x
  2. Step 2: Convert to fraction form
    1,284.80/1,776.48 = 1,120.78/x
  3. Step 3: Cross multiply
    1,284.80x = 1,776.48 × 1,120.78
  4. Step 4: Simplify right side
    1,284.80x = 1,991,043.25
  5. Step 5: Solve for x
    x = 1,991,043.25/1,284.80
  6. Step 6: Final answer
    x = 1,549.69

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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.