Home / 1,601.24-2,399.23-983.64

Finding the Fourth Proportional to 1,601.24, 2,399.23 and 983.64

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Solution

The fourth proportional to 1,601.24, 2,399.23 and 983.64 is: 1,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.24 : 2,399.23 = 983.64 : x
  2. Step 2: Convert to fraction form
    1,601.24/2,399.23 = 983.64/x
  3. Step 3: Cross multiply
    1,601.24x = 2,399.23 × 983.64
  4. Step 4: Simplify right side
    1,601.24x = 2,359,983.29
  5. Step 5: Solve for x
    x = 2,359,983.29/1,601.24
  6. Step 6: Final answer
    x = 1,473.85

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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.