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Finding the Fourth Proportional to 996.21, 1,374.16 and 642.01

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Solution

The fourth proportional to 996.21, 1,374.16 and 642.01 is: 885.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.21 : 1,374.16 = 642.01 : x
  2. Step 2: Convert to fraction form
    996.21/1,374.16 = 642.01/x
  3. Step 3: Cross multiply
    996.21x = 1,374.16 × 642.01
  4. Step 4: Simplify right side
    996.21x = 882,224.46
  5. Step 5: Solve for x
    x = 882,224.46/996.21
  6. Step 6: Final answer
    x = 885.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.