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Finding the Fourth Proportional to 799.80, 1,106.22 and 707.80

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Solution

The fourth proportional to 799.80, 1,106.22 and 707.80 is: 978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.80 : 1,106.22 = 707.80 : x
  2. Step 2: Convert to fraction form
    799.80/1,106.22 = 707.80/x
  3. Step 3: Cross multiply
    799.80x = 1,106.22 × 707.80
  4. Step 4: Simplify right side
    799.80x = 782,982.52
  5. Step 5: Solve for x
    x = 782,982.52/799.80
  6. Step 6: Final answer
    x = 978.97

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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.