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Finding the Fourth Proportional to 717.14, 989.40 and 422.30

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Solution

The fourth proportional to 717.14, 989.40 and 422.30 is: 582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.14 : 989.40 = 422.30 : x
  2. Step 2: Convert to fraction form
    717.14/989.40 = 422.30/x
  3. Step 3: Cross multiply
    717.14x = 989.40 × 422.30
  4. Step 4: Simplify right side
    717.14x = 417,823.62
  5. Step 5: Solve for x
    x = 417,823.62/717.14
  6. Step 6: Final answer
    x = 582.62

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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.