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Finding the Fourth Proportional to 980.76, 1,462.26 and 955.50

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Solution

The fourth proportional to 980.76, 1,462.26 and 955.50 is: 1,424.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.76 : 1,462.26 = 955.50 : x
  2. Step 2: Convert to fraction form
    980.76/1,462.26 = 955.50/x
  3. Step 3: Cross multiply
    980.76x = 1,462.26 × 955.50
  4. Step 4: Simplify right side
    980.76x = 1,397,189.43
  5. Step 5: Solve for x
    x = 1,397,189.43/980.76
  6. Step 6: Final answer
    x = 1,424.60

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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.