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Finding the Fourth Proportional to 854.20, 1,280.49 and 778.11

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Solution

The fourth proportional to 854.20, 1,280.49 and 778.11 is: 1,166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.20 : 1,280.49 = 778.11 : x
  2. Step 2: Convert to fraction form
    854.20/1,280.49 = 778.11/x
  3. Step 3: Cross multiply
    854.20x = 1,280.49 × 778.11
  4. Step 4: Simplify right side
    854.20x = 996,362.07
  5. Step 5: Solve for x
    x = 996,362.07/854.20
  6. Step 6: Final answer
    x = 1,166.43

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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.