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Finding the Fourth Proportional to 722.82, 997.32 and 443.07

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Solution

The fourth proportional to 722.82, 997.32 and 443.07 is: 611.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.82 : 997.32 = 443.07 : x
  2. Step 2: Convert to fraction form
    722.82/997.32 = 443.07/x
  3. Step 3: Cross multiply
    722.82x = 997.32 × 443.07
  4. Step 4: Simplify right side
    722.82x = 441,882.57
  5. Step 5: Solve for x
    x = 441,882.57/722.82
  6. Step 6: Final answer
    x = 611.33

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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.