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Finding the Fourth Proportional to 854.82, 1,280.99 and 464.49

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Solution

The fourth proportional to 854.82, 1,280.99 and 464.49 is: 696.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.82 : 1,280.99 = 464.49 : x
  2. Step 2: Convert to fraction form
    854.82/1,280.99 = 464.49/x
  3. Step 3: Cross multiply
    854.82x = 1,280.99 × 464.49
  4. Step 4: Simplify right side
    854.82x = 595,007.05
  5. Step 5: Solve for x
    x = 595,007.05/854.82
  6. Step 6: Final answer
    x = 696.06

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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.