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Finding the Fourth Proportional to 996.35, 1,374.89 and 664.47

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Solution

The fourth proportional to 996.35, 1,374.89 and 664.47 is: 916.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.35 : 1,374.89 = 664.47 : x
  2. Step 2: Convert to fraction form
    996.35/1,374.89 = 664.47/x
  3. Step 3: Cross multiply
    996.35x = 1,374.89 × 664.47
  4. Step 4: Simplify right side
    996.35x = 913,569.84
  5. Step 5: Solve for x
    x = 913,569.84/996.35
  6. Step 6: Final answer
    x = 916.92

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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.