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Finding the Fourth Proportional to 996.82, 1,376.13 and 702.34

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Solution

The fourth proportional to 996.82, 1,376.13 and 702.34 is: 969.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.82 : 1,376.13 = 702.34 : x
  2. Step 2: Convert to fraction form
    996.82/1,376.13 = 702.34/x
  3. Step 3: Cross multiply
    996.82x = 1,376.13 × 702.34
  4. Step 4: Simplify right side
    996.82x = 966,511.14
  5. Step 5: Solve for x
    x = 966,511.14/996.82
  6. Step 6: Final answer
    x = 969.59

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1.5x scale

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.