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Finding the Fourth Proportional to 997.90, 1,376.74 and 604.78

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Solution

The fourth proportional to 997.90, 1,376.74 and 604.78 is: 834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.90 : 1,376.74 = 604.78 : x
  2. Step 2: Convert to fraction form
    997.90/1,376.74 = 604.78/x
  3. Step 3: Cross multiply
    997.90x = 1,376.74 × 604.78
  4. Step 4: Simplify right side
    997.90x = 832,624.82
  5. Step 5: Solve for x
    x = 832,624.82/997.90
  6. Step 6: Final answer
    x = 834.38

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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.