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Finding the Fourth Proportional to 842.19, 1,259.67 and 819.80

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Solution

The fourth proportional to 842.19, 1,259.67 and 819.80 is: 1,226.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.19 : 1,259.67 = 819.80 : x
  2. Step 2: Convert to fraction form
    842.19/1,259.67 = 819.80/x
  3. Step 3: Cross multiply
    842.19x = 1,259.67 × 819.80
  4. Step 4: Simplify right side
    842.19x = 1,032,671.17
  5. Step 5: Solve for x
    x = 1,032,671.17/842.19
  6. Step 6: Final answer
    x = 1,226.17

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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.