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Finding the Fourth Proportional to 1,657.03, 2,286.67 and 958.39

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Solution

The fourth proportional to 1,657.03, 2,286.67 and 958.39 is: 1,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.03 : 2,286.67 = 958.39 : x
  2. Step 2: Convert to fraction form
    1,657.03/2,286.67 = 958.39/x
  3. Step 3: Cross multiply
    1,657.03x = 2,286.67 × 958.39
  4. Step 4: Simplify right side
    1,657.03x = 2,191,521.66
  5. Step 5: Solve for x
    x = 2,191,521.66/1,657.03
  6. Step 6: Final answer
    x = 1,322.56

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1.5x scale

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.