Home / 1,133.26-1,564.56-867.20

Finding the Fourth Proportional to 1,133.26, 1,564.56 and 867.20

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Solution

The fourth proportional to 1,133.26, 1,564.56 and 867.20 is: 1,197.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.26 : 1,564.56 = 867.20 : x
  2. Step 2: Convert to fraction form
    1,133.26/1,564.56 = 867.20/x
  3. Step 3: Cross multiply
    1,133.26x = 1,564.56 × 867.20
  4. Step 4: Simplify right side
    1,133.26x = 1,356,786.43
  5. Step 5: Solve for x
    x = 1,356,786.43/1,133.26
  6. Step 6: Final answer
    x = 1,197.24

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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.