Home / 2,258.14-3,387.24-698.12

Finding the Fourth Proportional to 2,258.14, 3,387.24 and 698.12

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Solution

The fourth proportional to 2,258.14, 3,387.24 and 698.12 is: 1,047.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.14 : 3,387.24 = 698.12 : x
  2. Step 2: Convert to fraction form
    2,258.14/3,387.24 = 698.12/x
  3. Step 3: Cross multiply
    2,258.14x = 3,387.24 × 698.12
  4. Step 4: Simplify right side
    2,258.14x = 2,364,699.99
  5. Step 5: Solve for x
    x = 2,364,699.99/2,258.14
  6. Step 6: Final answer
    x = 1,047.19

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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.