Home / 1,657.30-2,286.85-949.06

Finding the Fourth Proportional to 1,657.30, 2,286.85 and 949.06

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Solution

The fourth proportional to 1,657.30, 2,286.85 and 949.06 is: 1,309.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.30 : 2,286.85 = 949.06 : x
  2. Step 2: Convert to fraction form
    1,657.30/2,286.85 = 949.06/x
  3. Step 3: Cross multiply
    1,657.30x = 2,286.85 × 949.06
  4. Step 4: Simplify right side
    1,657.30x = 2,170,357.86
  5. Step 5: Solve for x
    x = 2,170,357.86/1,657.30
  6. Step 6: Final answer
    x = 1,309.57

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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.