Home / 1,133.30-1,564.60-867.24

Finding the Fourth Proportional to 1,133.30, 1,564.60 and 867.24

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Solution

The fourth proportional to 1,133.30, 1,564.60 and 867.24 is: 1,197.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.30 : 1,564.60 = 867.24 : x
  2. Step 2: Convert to fraction form
    1,133.30/1,564.60 = 867.24/x
  3. Step 3: Cross multiply
    1,133.30x = 1,564.60 × 867.24
  4. Step 4: Simplify right side
    1,133.30x = 1,356,883.70
  5. Step 5: Solve for x
    x = 1,356,883.70/1,133.30
  6. Step 6: Final answer
    x = 1,197.29

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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.