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Finding the Fourth Proportional to 854.68, 1,282.24 and 277.56

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Solution

The fourth proportional to 854.68, 1,282.24 and 277.56 is: 416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.68 : 1,282.24 = 277.56 : x
  2. Step 2: Convert to fraction form
    854.68/1,282.24 = 277.56/x
  3. Step 3: Cross multiply
    854.68x = 1,282.24 × 277.56
  4. Step 4: Simplify right side
    854.68x = 355,898.53
  5. Step 5: Solve for x
    x = 355,898.53/854.68
  6. Step 6: Final answer
    x = 416.41

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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.