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Finding the Fourth Proportional to 660.09, 989.80 and 352.09

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Solution

The fourth proportional to 660.09, 989.80 and 352.09 is: 527.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.09 : 989.80 = 352.09 : x
  2. Step 2: Convert to fraction form
    660.09/989.80 = 352.09/x
  3. Step 3: Cross multiply
    660.09x = 989.80 × 352.09
  4. Step 4: Simplify right side
    660.09x = 348,498.68
  5. Step 5: Solve for x
    x = 348,498.68/660.09
  6. Step 6: Final answer
    x = 527.96

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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.