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Finding the Fourth Proportional to 659.30, 987.11 and 333.06

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Solution

The fourth proportional to 659.30, 987.11 and 333.06 is: 498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.30 : 987.11 = 333.06 : x
  2. Step 2: Convert to fraction form
    659.30/987.11 = 333.06/x
  3. Step 3: Cross multiply
    659.30x = 987.11 × 333.06
  4. Step 4: Simplify right side
    659.30x = 328,765.19
  5. Step 5: Solve for x
    x = 328,765.19/659.30
  6. Step 6: Final answer
    x = 498.66

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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.