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Finding the Fourth Proportional to 722.80, 1,084.12 and 209.80

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Solution

The fourth proportional to 722.80, 1,084.12 and 209.80 is: 314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.80 : 1,084.12 = 209.80 : x
  2. Step 2: Convert to fraction form
    722.80/1,084.12 = 209.80/x
  3. Step 3: Cross multiply
    722.80x = 1,084.12 × 209.80
  4. Step 4: Simplify right side
    722.80x = 227,448.38
  5. Step 5: Solve for x
    x = 227,448.38/722.80
  6. Step 6: Final answer
    x = 314.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.