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Finding the Fourth Proportional to 660.02, 989.19 and 352.02

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Solution

The fourth proportional to 660.02, 989.19 and 352.02 is: 527.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.02 : 989.19 = 352.02 : x
  2. Step 2: Convert to fraction form
    660.02/989.19 = 352.02/x
  3. Step 3: Cross multiply
    660.02x = 989.19 × 352.02
  4. Step 4: Simplify right side
    660.02x = 348,214.66
  5. Step 5: Solve for x
    x = 348,214.66/660.02
  6. Step 6: Final answer
    x = 527.58

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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.