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Finding the Fourth Proportional to 716.68, 989.24 and 422

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Solution

The fourth proportional to 716.68, 989.24 and 422 is: 582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.68 : 989.24 = 422 : x
  2. Step 2: Convert to fraction form
    716.68/989.24 = 422/x
  3. Step 3: Cross multiply
    716.68x = 989.24 × 422
  4. Step 4: Simplify right side
    716.68x = 417,459.28
  5. Step 5: Solve for x
    x = 417,459.28/716.68
  6. Step 6: Final answer
    x = 582.49

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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.