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Finding the Fourth Proportional to 659.23, 908.78 and 410.42

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Solution

The fourth proportional to 659.23, 908.78 and 410.42 is: 565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.23 : 908.78 = 410.42 : x
  2. Step 2: Convert to fraction form
    659.23/908.78 = 410.42/x
  3. Step 3: Cross multiply
    659.23x = 908.78 × 410.42
  4. Step 4: Simplify right side
    659.23x = 372,981.49
  5. Step 5: Solve for x
    x = 372,981.49/659.23
  6. Step 6: Final answer
    x = 565.78

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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.