Home / 1,131.40-1,694.52-584.08

Finding the Fourth Proportional to 1,131.40, 1,694.52 and 584.08

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Solution

The fourth proportional to 1,131.40, 1,694.52 and 584.08 is: 874.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.40 : 1,694.52 = 584.08 : x
  2. Step 2: Convert to fraction form
    1,131.40/1,694.52 = 584.08/x
  3. Step 3: Cross multiply
    1,131.40x = 1,694.52 × 584.08
  4. Step 4: Simplify right side
    1,131.40x = 989,735.24
  5. Step 5: Solve for x
    x = 989,735.24/1,131.40
  6. Step 6: Final answer
    x = 874.79

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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.