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Finding the Fourth Proportional to 862.56, 1,191.30 and 668.42

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Solution

The fourth proportional to 862.56, 1,191.30 and 668.42 is: 923.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.56 : 1,191.30 = 668.42 : x
  2. Step 2: Convert to fraction form
    862.56/1,191.30 = 668.42/x
  3. Step 3: Cross multiply
    862.56x = 1,191.30 × 668.42
  4. Step 4: Simplify right side
    862.56x = 796,288.75
  5. Step 5: Solve for x
    x = 796,288.75/862.56
  6. Step 6: Final answer
    x = 923.17

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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.