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Finding the Fourth Proportional to 997.70, 1,376.96 and 604.74

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Solution

The fourth proportional to 997.70, 1,376.96 and 604.74 is: 834.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.70 : 1,376.96 = 604.74 : x
  2. Step 2: Convert to fraction form
    997.70/1,376.96 = 604.74/x
  3. Step 3: Cross multiply
    997.70x = 1,376.96 × 604.74
  4. Step 4: Simplify right side
    997.70x = 832,702.79
  5. Step 5: Solve for x
    x = 832,702.79/997.70
  6. Step 6: Final answer
    x = 834.62

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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.