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Finding the Fourth Proportional to 659.35, 988.35 and 333.73

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Solution

The fourth proportional to 659.35, 988.35 and 333.73 is: 500.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.35 : 988.35 = 333.73 : x
  2. Step 2: Convert to fraction form
    659.35/988.35 = 333.73/x
  3. Step 3: Cross multiply
    659.35x = 988.35 × 333.73
  4. Step 4: Simplify right side
    659.35x = 329,842.05
  5. Step 5: Solve for x
    x = 329,842.05/659.35
  6. Step 6: Final answer
    x = 500.25

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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.