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Finding the Fourth Proportional to 936.98, 1,402.20 and 770.44

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Solution

The fourth proportional to 936.98, 1,402.20 and 770.44 is: 1,152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.98 : 1,402.20 = 770.44 : x
  2. Step 2: Convert to fraction form
    936.98/1,402.20 = 770.44/x
  3. Step 3: Cross multiply
    936.98x = 1,402.20 × 770.44
  4. Step 4: Simplify right side
    936.98x = 1,080,310.97
  5. Step 5: Solve for x
    x = 1,080,310.97/936.98
  6. Step 6: Final answer
    x = 1,152.97

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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.