Home / 1,661.24-2,291.52-997.70

Finding the Fourth Proportional to 1,661.24, 2,291.52 and 997.70

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Solution

The fourth proportional to 1,661.24, 2,291.52 and 997.70 is: 1,376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.24 : 2,291.52 = 997.70 : x
  2. Step 2: Convert to fraction form
    1,661.24/2,291.52 = 997.70/x
  3. Step 3: Cross multiply
    1,661.24x = 2,291.52 × 997.70
  4. Step 4: Simplify right side
    1,661.24x = 2,286,249.50
  5. Step 5: Solve for x
    x = 2,286,249.50/1,661.24
  6. Step 6: Final answer
    x = 1,376.23

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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.