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Finding the Fourth Proportional to 854.55, 1,280.47 and 622.38

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Solution

The fourth proportional to 854.55, 1,280.47 and 622.38 is: 932.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.55 : 1,280.47 = 622.38 : x
  2. Step 2: Convert to fraction form
    854.55/1,280.47 = 622.38/x
  3. Step 3: Cross multiply
    854.55x = 1,280.47 × 622.38
  4. Step 4: Simplify right side
    854.55x = 796,938.92
  5. Step 5: Solve for x
    x = 796,938.92/854.55
  6. Step 6: Final answer
    x = 932.58

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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.