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Finding the Fourth Proportional to 716.67, 989.19 and 422.14

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Solution

The fourth proportional to 716.67, 989.19 and 422.14 is: 582.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.67 : 989.19 = 422.14 : x
  2. Step 2: Convert to fraction form
    716.67/989.19 = 422.14/x
  3. Step 3: Cross multiply
    716.67x = 989.19 × 422.14
  4. Step 4: Simplify right side
    716.67x = 417,576.67
  5. Step 5: Solve for x
    x = 417,576.67/716.67
  6. Step 6: Final answer
    x = 582.66

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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.