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Finding the Fourth Proportional to 996.17, 1,491.13 and 644.30

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Solution

The fourth proportional to 996.17, 1,491.13 and 644.30 is: 964.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.17 : 1,491.13 = 644.30 : x
  2. Step 2: Convert to fraction form
    996.17/1,491.13 = 644.30/x
  3. Step 3: Cross multiply
    996.17x = 1,491.13 × 644.30
  4. Step 4: Simplify right side
    996.17x = 960,730.38
  5. Step 5: Solve for x
    x = 960,730.38/996.17
  6. Step 6: Final answer
    x = 964.43

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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.