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Finding the Fourth Proportional to 659.63, 910.24 and 379.66

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Solution

The fourth proportional to 659.63, 910.24 and 379.66 is: 523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.63 : 910.24 = 379.66 : x
  2. Step 2: Convert to fraction form
    659.63/910.24 = 379.66/x
  3. Step 3: Cross multiply
    659.63x = 910.24 × 379.66
  4. Step 4: Simplify right side
    659.63x = 345,581.72
  5. Step 5: Solve for x
    x = 345,581.72/659.63
  6. Step 6: Final answer
    x = 523.90

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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.