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Finding the Fourth Proportional to 709.80, 996.60 and 709.80

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Solution

The fourth proportional to 709.80, 996.60 and 709.80 is: 996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.80 : 996.60 = 709.80 : x
  2. Step 2: Convert to fraction form
    709.80/996.60 = 709.80/x
  3. Step 3: Cross multiply
    709.80x = 996.60 × 709.80
  4. Step 4: Simplify right side
    709.80x = 707,386.68
  5. Step 5: Solve for x
    x = 707,386.68/709.80
  6. Step 6: Final answer
    x = 996.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.