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Finding the Fourth Proportional to 722.90, 997.61 and 439.23

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Solution

The fourth proportional to 722.90, 997.61 and 439.23 is: 606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.90 : 997.61 = 439.23 : x
  2. Step 2: Convert to fraction form
    722.90/997.61 = 439.23/x
  3. Step 3: Cross multiply
    722.90x = 997.61 × 439.23
  4. Step 4: Simplify right side
    722.90x = 438,178.04
  5. Step 5: Solve for x
    x = 438,178.04/722.90
  6. Step 6: Final answer
    x = 606.14

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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.