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Finding the Fourth Proportional to 660.42, 989.76 and 335.88

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Solution

The fourth proportional to 660.42, 989.76 and 335.88 is: 503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.42 : 989.76 = 335.88 : x
  2. Step 2: Convert to fraction form
    660.42/989.76 = 335.88/x
  3. Step 3: Cross multiply
    660.42x = 989.76 × 335.88
  4. Step 4: Simplify right side
    660.42x = 332,440.59
  5. Step 5: Solve for x
    x = 332,440.59/660.42
  6. Step 6: Final answer
    x = 503.38

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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.