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Finding the Fourth Proportional to 661.12, 911.41 and 451.03

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Solution

The fourth proportional to 661.12, 911.41 and 451.03 is: 621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.12 : 911.41 = 451.03 : x
  2. Step 2: Convert to fraction form
    661.12/911.41 = 451.03/x
  3. Step 3: Cross multiply
    661.12x = 911.41 × 451.03
  4. Step 4: Simplify right side
    661.12x = 411,073.25
  5. Step 5: Solve for x
    x = 411,073.25/661.12
  6. Step 6: Final answer
    x = 621.78

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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.