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Finding the Fourth Proportional to 996.18, 1,491.84 and 670.56

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Solution

The fourth proportional to 996.18, 1,491.84 and 670.56 is: 1,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.18 : 1,491.84 = 670.56 : x
  2. Step 2: Convert to fraction form
    996.18/1,491.84 = 670.56/x
  3. Step 3: Cross multiply
    996.18x = 1,491.84 × 670.56
  4. Step 4: Simplify right side
    996.18x = 1,000,368.23
  5. Step 5: Solve for x
    x = 1,000,368.23/996.18
  6. Step 6: Final answer
    x = 1,004.20

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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.