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Finding the Fourth Proportional to 854.69, 1,280.62 and 360.69

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Solution

The fourth proportional to 854.69, 1,280.62 and 360.69 is: 540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.69 : 1,280.62 = 360.69 : x
  2. Step 2: Convert to fraction form
    854.69/1,280.62 = 360.69/x
  3. Step 3: Cross multiply
    854.69x = 1,280.62 × 360.69
  4. Step 4: Simplify right side
    854.69x = 461,902.48
  5. Step 5: Solve for x
    x = 461,902.48/854.69
  6. Step 6: Final answer
    x = 540.44

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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.