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Finding the Fourth Proportional to 659.12, 909.54 and 379.31

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Solution

The fourth proportional to 659.12, 909.54 and 379.31 is: 523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.12 : 909.54 = 379.31 : x
  2. Step 2: Convert to fraction form
    659.12/909.54 = 379.31/x
  3. Step 3: Cross multiply
    659.12x = 909.54 × 379.31
  4. Step 4: Simplify right side
    659.12x = 344,993.07
  5. Step 5: Solve for x
    x = 344,993.07/659.12
  6. Step 6: Final answer
    x = 523.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.