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Finding the Fourth Proportional to 717.16, 989.73 and 422.66

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Solution

The fourth proportional to 717.16, 989.73 and 422.66 is: 583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.16 : 989.73 = 422.66 : x
  2. Step 2: Convert to fraction form
    717.16/989.73 = 422.66/x
  3. Step 3: Cross multiply
    717.16x = 989.73 × 422.66
  4. Step 4: Simplify right side
    717.16x = 418,314.33
  5. Step 5: Solve for x
    x = 418,314.33/717.16
  6. Step 6: Final answer
    x = 583.29

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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.