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Finding the Fourth Proportional to 499.82, 689.28 and 322.61

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Solution

The fourth proportional to 499.82, 689.28 and 322.61 is: 444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.82 : 689.28 = 322.61 : x
  2. Step 2: Convert to fraction form
    499.82/689.28 = 322.61/x
  3. Step 3: Cross multiply
    499.82x = 689.28 × 322.61
  4. Step 4: Simplify right side
    499.82x = 222,365.17
  5. Step 5: Solve for x
    x = 222,365.17/499.82
  6. Step 6: Final answer
    x = 444.89

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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.