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Finding the Fourth Proportional to 722.59, 997.33 and 423.97

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Solution

The fourth proportional to 722.59, 997.33 and 423.97 is: 585.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.59 : 997.33 = 423.97 : x
  2. Step 2: Convert to fraction form
    722.59/997.33 = 423.97/x
  3. Step 3: Cross multiply
    722.59x = 997.33 × 423.97
  4. Step 4: Simplify right side
    722.59x = 422,833.01
  5. Step 5: Solve for x
    x = 422,833.01/722.59
  6. Step 6: Final answer
    x = 585.17

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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.