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Finding the Fourth Proportional to 996.36, 1,374.24 and 642.06

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Solution

The fourth proportional to 996.36, 1,374.24 and 642.06 is: 885.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.36 : 1,374.24 = 642.06 : x
  2. Step 2: Convert to fraction form
    996.36/1,374.24 = 642.06/x
  3. Step 3: Cross multiply
    996.36x = 1,374.24 × 642.06
  4. Step 4: Simplify right side
    996.36x = 882,344.53
  5. Step 5: Solve for x
    x = 882,344.53/996.36
  6. Step 6: Final answer
    x = 885.57

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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.