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Finding the Fourth Proportional to 980.60, 1,352.84 and 631.49

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Solution

The fourth proportional to 980.60, 1,352.84 and 631.49 is: 871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.60 : 1,352.84 = 631.49 : x
  2. Step 2: Convert to fraction form
    980.60/1,352.84 = 631.49/x
  3. Step 3: Cross multiply
    980.60x = 1,352.84 × 631.49
  4. Step 4: Simplify right side
    980.60x = 854,295.01
  5. Step 5: Solve for x
    x = 854,295.01/980.60
  6. Step 6: Final answer
    x = 871.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.