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Finding the Fourth Proportional to 659.09, 908.87 and 397.05

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Solution

The fourth proportional to 659.09, 908.87 and 397.05 is: 547.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.09 : 908.87 = 397.05 : x
  2. Step 2: Convert to fraction form
    659.09/908.87 = 397.05/x
  3. Step 3: Cross multiply
    659.09x = 908.87 × 397.05
  4. Step 4: Simplify right side
    659.09x = 360,864.85
  5. Step 5: Solve for x
    x = 360,864.85/659.09
  6. Step 6: Final answer
    x = 547.52

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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.