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Finding the Fourth Proportional to 717.19, 989.69 and 422.48

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Solution

The fourth proportional to 717.19, 989.69 and 422.48 is: 583.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.19 : 989.69 = 422.48 : x
  2. Step 2: Convert to fraction form
    717.19/989.69 = 422.48/x
  3. Step 3: Cross multiply
    717.19x = 989.69 × 422.48
  4. Step 4: Simplify right side
    717.19x = 418,124.59
  5. Step 5: Solve for x
    x = 418,124.59/717.19
  6. Step 6: Final answer
    x = 583.01

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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.