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Finding the Fourth Proportional to 717.49, 989.74 and 422.72

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Solution

The fourth proportional to 717.49, 989.74 and 422.72 is: 583.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.49 : 989.74 = 422.72 : x
  2. Step 2: Convert to fraction form
    717.49/989.74 = 422.72/x
  3. Step 3: Cross multiply
    717.49x = 989.74 × 422.72
  4. Step 4: Simplify right side
    717.49x = 418,382.89
  5. Step 5: Solve for x
    x = 418,382.89/717.49
  6. Step 6: Final answer
    x = 583.12

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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.