Home / 1,205.26-1,807.28-588.04

Finding the Fourth Proportional to 1,205.26, 1,807.28 and 588.04

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Solution

The fourth proportional to 1,205.26, 1,807.28 and 588.04 is: 881.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.26 : 1,807.28 = 588.04 : x
  2. Step 2: Convert to fraction form
    1,205.26/1,807.28 = 588.04/x
  3. Step 3: Cross multiply
    1,205.26x = 1,807.28 × 588.04
  4. Step 4: Simplify right side
    1,205.26x = 1,062,747.68
  5. Step 5: Solve for x
    x = 1,062,747.68/1,205.26
  6. Step 6: Final answer
    x = 881.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.