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Finding the Fourth Proportional to 1,199.92, 1,655.76 and 668.80

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Solution

The fourth proportional to 1,199.92, 1,655.76 and 668.80 is: 922.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.92 : 1,655.76 = 668.80 : x
  2. Step 2: Convert to fraction form
    1,199.92/1,655.76 = 668.80/x
  3. Step 3: Cross multiply
    1,199.92x = 1,655.76 × 668.80
  4. Step 4: Simplify right side
    1,199.92x = 1,107,372.29
  5. Step 5: Solve for x
    x = 1,107,372.29/1,199.92
  6. Step 6: Final answer
    x = 922.87

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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.