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Finding the Fourth Proportional to 660.31, 991.07 and 352.43

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Solution

The fourth proportional to 660.31, 991.07 and 352.43 is: 528.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.31 : 991.07 = 352.43 : x
  2. Step 2: Convert to fraction form
    660.31/991.07 = 352.43/x
  3. Step 3: Cross multiply
    660.31x = 991.07 × 352.43
  4. Step 4: Simplify right side
    660.31x = 349,282.80
  5. Step 5: Solve for x
    x = 349,282.80/660.31
  6. Step 6: Final answer
    x = 528.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.