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Finding the Fourth Proportional to 980.42, 1,350.30 and 909.94

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Solution

The fourth proportional to 980.42, 1,350.30 and 909.94 is: 1,253.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.42 : 1,350.30 = 909.94 : x
  2. Step 2: Convert to fraction form
    980.42/1,350.30 = 909.94/x
  3. Step 3: Cross multiply
    980.42x = 1,350.30 × 909.94
  4. Step 4: Simplify right side
    980.42x = 1,228,691.98
  5. Step 5: Solve for x
    x = 1,228,691.98/980.42
  6. Step 6: Final answer
    x = 1,253.23

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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.