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Finding the Fourth Proportional to 659.66, 911.08 and 449.47

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Solution

The fourth proportional to 659.66, 911.08 and 449.47 is: 620.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.66 : 911.08 = 449.47 : x
  2. Step 2: Convert to fraction form
    659.66/911.08 = 449.47/x
  3. Step 3: Cross multiply
    659.66x = 911.08 × 449.47
  4. Step 4: Simplify right side
    659.66x = 409,503.14
  5. Step 5: Solve for x
    x = 409,503.14/659.66
  6. Step 6: Final answer
    x = 620.78

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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.