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Finding the Fourth Proportional to 661.06, 911.13 and 513.41

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Solution

The fourth proportional to 661.06, 911.13 and 513.41 is: 707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.06 : 911.13 = 513.41 : x
  2. Step 2: Convert to fraction form
    661.06/911.13 = 513.41/x
  3. Step 3: Cross multiply
    661.06x = 911.13 × 513.41
  4. Step 4: Simplify right side
    661.06x = 467,783.25
  5. Step 5: Solve for x
    x = 467,783.25/661.06
  6. Step 6: Final answer
    x = 707.63

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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.