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Finding the Fourth Proportional to 661.56, 911.82 and 513.91

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Solution

The fourth proportional to 661.56, 911.82 and 513.91 is: 708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.56 : 911.82 = 513.91 : x
  2. Step 2: Convert to fraction form
    661.56/911.82 = 513.91/x
  3. Step 3: Cross multiply
    661.56x = 911.82 × 513.91
  4. Step 4: Simplify right side
    661.56x = 468,593.42
  5. Step 5: Solve for x
    x = 468,593.42/661.56
  6. Step 6: Final answer
    x = 708.32

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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.