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Finding the Fourth Proportional to 1,657.68, 2,287.34 and 994.36

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Solution

The fourth proportional to 1,657.68, 2,287.34 and 994.36 is: 1,372.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.68 : 2,287.34 = 994.36 : x
  2. Step 2: Convert to fraction form
    1,657.68/2,287.34 = 994.36/x
  3. Step 3: Cross multiply
    1,657.68x = 2,287.34 × 994.36
  4. Step 4: Simplify right side
    1,657.68x = 2,274,439.40
  5. Step 5: Solve for x
    x = 2,274,439.40/1,657.68
  6. Step 6: Final answer
    x = 1,372.06

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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.