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Finding the Fourth Proportional to 722.34, 996.99 and 460.29

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Solution

The fourth proportional to 722.34, 996.99 and 460.29 is: 635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.34 : 996.99 = 460.29 : x
  2. Step 2: Convert to fraction form
    722.34/996.99 = 460.29/x
  3. Step 3: Cross multiply
    722.34x = 996.99 × 460.29
  4. Step 4: Simplify right side
    722.34x = 458,904.53
  5. Step 5: Solve for x
    x = 458,904.53/722.34
  6. Step 6: Final answer
    x = 635.30

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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.