Home / 1,601.46-2,402.09-985.25

Finding the Fourth Proportional to 1,601.46, 2,402.09 and 985.25

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Solution

The fourth proportional to 1,601.46, 2,402.09 and 985.25 is: 1,477.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.46 : 2,402.09 = 985.25 : x
  2. Step 2: Convert to fraction form
    1,601.46/2,402.09 = 985.25/x
  3. Step 3: Cross multiply
    1,601.46x = 2,402.09 × 985.25
  4. Step 4: Simplify right side
    1,601.46x = 2,366,659.17
  5. Step 5: Solve for x
    x = 2,366,659.17/1,601.46
  6. Step 6: Final answer
    x = 1,477.81

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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.