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Finding the Fourth Proportional to 853.27, 1,280 and 638.22

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Solution

The fourth proportional to 853.27, 1,280 and 638.22 is: 957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.27 : 1,280 = 638.22 : x
  2. Step 2: Convert to fraction form
    853.27/1,280 = 638.22/x
  3. Step 3: Cross multiply
    853.27x = 1,280 × 638.22
  4. Step 4: Simplify right side
    853.27x = 816,921.60
  5. Step 5: Solve for x
    x = 816,921.60/853.27
  6. Step 6: Final answer
    x = 957.40

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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.