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Finding the Fourth Proportional to 1,191.57, 1,644.36 and 667.56

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Solution

The fourth proportional to 1,191.57, 1,644.36 and 667.56 is: 921.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.57 : 1,644.36 = 667.56 : x
  2. Step 2: Convert to fraction form
    1,191.57/1,644.36 = 667.56/x
  3. Step 3: Cross multiply
    1,191.57x = 1,644.36 × 667.56
  4. Step 4: Simplify right side
    1,191.57x = 1,097,708.96
  5. Step 5: Solve for x
    x = 1,097,708.96/1,191.57
  6. Step 6: Final answer
    x = 921.23

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Double scale
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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.