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Finding the Fourth Proportional to 998.57, 1,376.60 and 702.92

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Solution

The fourth proportional to 998.57, 1,376.60 and 702.92 is: 969.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.57 : 1,376.60 = 702.92 : x
  2. Step 2: Convert to fraction form
    998.57/1,376.60 = 702.92/x
  3. Step 3: Cross multiply
    998.57x = 1,376.60 × 702.92
  4. Step 4: Simplify right side
    998.57x = 967,639.67
  5. Step 5: Solve for x
    x = 967,639.67/998.57
  6. Step 6: Final answer
    x = 969.03

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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.