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Finding the Fourth Proportional to 1,657.09, 2,286.87 and 958.46

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Solution

The fourth proportional to 1,657.09, 2,286.87 and 958.46 is: 1,322.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.09 : 2,286.87 = 958.46 : x
  2. Step 2: Convert to fraction form
    1,657.09/2,286.87 = 958.46/x
  3. Step 3: Cross multiply
    1,657.09x = 2,286.87 × 958.46
  4. Step 4: Simplify right side
    1,657.09x = 2,191,873.42
  5. Step 5: Solve for x
    x = 2,191,873.42/1,657.09
  6. Step 6: Final answer
    x = 1,322.73

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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.