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Finding the Fourth Proportional to 853.42, 1,280.37 and 276.46

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Solution

The fourth proportional to 853.42, 1,280.37 and 276.46 is: 414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.42 : 1,280.37 = 276.46 : x
  2. Step 2: Convert to fraction form
    853.42/1,280.37 = 276.46/x
  3. Step 3: Cross multiply
    853.42x = 1,280.37 × 276.46
  4. Step 4: Simplify right side
    853.42x = 353,971.09
  5. Step 5: Solve for x
    x = 353,971.09/853.42
  6. Step 6: Final answer
    x = 414.77

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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.