Home / 1,259.28-1,738.26-1,142.64

Finding the Fourth Proportional to 1,259.28, 1,738.26 and 1,142.64

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Solution

The fourth proportional to 1,259.28, 1,738.26 and 1,142.64 is: 1,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.28 : 1,738.26 = 1,142.64 : x
  2. Step 2: Convert to fraction form
    1,259.28/1,738.26 = 1,142.64/x
  3. Step 3: Cross multiply
    1,259.28x = 1,738.26 × 1,142.64
  4. Step 4: Simplify right side
    1,259.28x = 1,986,205.41
  5. Step 5: Solve for x
    x = 1,986,205.41/1,259.28
  6. Step 6: Final answer
    x = 1,577.25

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1.5x scale

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.