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Finding the Fourth Proportional to 997.98, 1,497.45 and 450.33

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Solution

The fourth proportional to 997.98, 1,497.45 and 450.33 is: 675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.98 : 1,497.45 = 450.33 : x
  2. Step 2: Convert to fraction form
    997.98/1,497.45 = 450.33/x
  3. Step 3: Cross multiply
    997.98x = 1,497.45 × 450.33
  4. Step 4: Simplify right side
    997.98x = 674,344.41
  5. Step 5: Solve for x
    x = 674,344.41/997.98
  6. Step 6: Final answer
    x = 675.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.