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Finding the Fourth Proportional to 709, 1,057.50 and 668.34

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Solution

The fourth proportional to 709, 1,057.50 and 668.34 is: 996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    709 : 1,057.50 = 668.34 : x
  2. Step 2: Convert to fraction form
    709/1,057.50 = 668.34/x
  3. Step 3: Cross multiply
    709x = 1,057.50 × 668.34
  4. Step 4: Simplify right side
    709x = 706,769.55
  5. Step 5: Solve for x
    x = 706,769.55/709
  6. Step 6: Final answer
    x = 996.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.