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Finding the Fourth Proportional to 659.47, 910.03 and 379.64

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Solution

The fourth proportional to 659.47, 910.03 and 379.64 is: 523.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.47 : 910.03 = 379.64 : x
  2. Step 2: Convert to fraction form
    659.47/910.03 = 379.64/x
  3. Step 3: Cross multiply
    659.47x = 910.03 × 379.64
  4. Step 4: Simplify right side
    659.47x = 345,483.79
  5. Step 5: Solve for x
    x = 345,483.79/659.47
  6. Step 6: Final answer
    x = 523.88

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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.