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Finding the Fourth Proportional to 830.44, 1,243.50 and 722.44

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Solution

The fourth proportional to 830.44, 1,243.50 and 722.44 is: 1,081.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.44 : 1,243.50 = 722.44 : x
  2. Step 2: Convert to fraction form
    830.44/1,243.50 = 722.44/x
  3. Step 3: Cross multiply
    830.44x = 1,243.50 × 722.44
  4. Step 4: Simplify right side
    830.44x = 898,354.14
  5. Step 5: Solve for x
    x = 898,354.14/830.44
  6. Step 6: Final answer
    x = 1,081.78

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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.