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Finding the Fourth Proportional to 997.98, 1,377.38 and 719.15

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Solution

The fourth proportional to 997.98, 1,377.38 and 719.15 is: 992.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.98 : 1,377.38 = 719.15 : x
  2. Step 2: Convert to fraction form
    997.98/1,377.38 = 719.15/x
  3. Step 3: Cross multiply
    997.98x = 1,377.38 × 719.15
  4. Step 4: Simplify right side
    997.98x = 990,532.34
  5. Step 5: Solve for x
    x = 990,532.34/997.98
  6. Step 6: Final answer
    x = 992.54

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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.