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Finding the Fourth Proportional to 729.98, 1,096.30 and 700.62

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Solution

The fourth proportional to 729.98, 1,096.30 and 700.62 is: 1,052.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.98 : 1,096.30 = 700.62 : x
  2. Step 2: Convert to fraction form
    729.98/1,096.30 = 700.62/x
  3. Step 3: Cross multiply
    729.98x = 1,096.30 × 700.62
  4. Step 4: Simplify right side
    729.98x = 768,086.47
  5. Step 5: Solve for x
    x = 768,086.47/729.98
  6. Step 6: Final answer
    x = 1,052.20

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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.