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Finding the Fourth Proportional to 661.14, 911.96 and 425.39

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Solution

The fourth proportional to 661.14, 911.96 and 425.39 is: 586.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.14 : 911.96 = 425.39 : x
  2. Step 2: Convert to fraction form
    661.14/911.96 = 425.39/x
  3. Step 3: Cross multiply
    661.14x = 911.96 × 425.39
  4. Step 4: Simplify right side
    661.14x = 387,939.88
  5. Step 5: Solve for x
    x = 387,939.88/661.14
  6. Step 6: Final answer
    x = 586.78

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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.