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Finding the Fourth Proportional to 1,695.43, 2,544.36 and 966.43

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Solution

The fourth proportional to 1,695.43, 2,544.36 and 966.43 is: 1,450.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.43 : 2,544.36 = 966.43 : x
  2. Step 2: Convert to fraction form
    1,695.43/2,544.36 = 966.43/x
  3. Step 3: Cross multiply
    1,695.43x = 2,544.36 × 966.43
  4. Step 4: Simplify right side
    1,695.43x = 2,458,945.83
  5. Step 5: Solve for x
    x = 2,458,945.83/1,695.43
  6. Step 6: Final answer
    x = 1,450.34

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1.5x scale

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.