Home / 1,231.20-1,698.84-733.60

Finding the Fourth Proportional to 1,231.20, 1,698.84 and 733.60

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Solution

The fourth proportional to 1,231.20, 1,698.84 and 733.60 is: 1,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.20 : 1,698.84 = 733.60 : x
  2. Step 2: Convert to fraction form
    1,231.20/1,698.84 = 733.60/x
  3. Step 3: Cross multiply
    1,231.20x = 1,698.84 × 733.60
  4. Step 4: Simplify right side
    1,231.20x = 1,246,269.02
  5. Step 5: Solve for x
    x = 1,246,269.02/1,231.20
  6. Step 6: Final answer
    x = 1,012.24

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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.