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Finding the Fourth Proportional to 659.20, 909.82 and 410.62

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Solution

The fourth proportional to 659.20, 909.82 and 410.62 is: 566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.20 : 909.82 = 410.62 : x
  2. Step 2: Convert to fraction form
    659.20/909.82 = 410.62/x
  3. Step 3: Cross multiply
    659.20x = 909.82 × 410.62
  4. Step 4: Simplify right side
    659.20x = 373,590.29
  5. Step 5: Solve for x
    x = 373,590.29/659.20
  6. Step 6: Final answer
    x = 566.73

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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.