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Finding the Fourth Proportional to 682.08, 1,016.72 and 645.60

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Solution

The fourth proportional to 682.08, 1,016.72 and 645.60 is: 962.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.08 : 1,016.72 = 645.60 : x
  2. Step 2: Convert to fraction form
    682.08/1,016.72 = 645.60/x
  3. Step 3: Cross multiply
    682.08x = 1,016.72 × 645.60
  4. Step 4: Simplify right side
    682.08x = 656,394.43
  5. Step 5: Solve for x
    x = 656,394.43/682.08
  6. Step 6: Final answer
    x = 962.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.