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Finding the Fourth Proportional to 717.31, 990.03 and 422.74

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Solution

The fourth proportional to 717.31, 990.03 and 422.74 is: 583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.31 : 990.03 = 422.74 : x
  2. Step 2: Convert to fraction form
    717.31/990.03 = 422.74/x
  3. Step 3: Cross multiply
    717.31x = 990.03 × 422.74
  4. Step 4: Simplify right side
    717.31x = 418,525.28
  5. Step 5: Solve for x
    x = 418,525.28/717.31
  6. Step 6: Final answer
    x = 583.47

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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.