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Finding the Fourth Proportional to 661.51, 911.64 and 495.10

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Solution

The fourth proportional to 661.51, 911.64 and 495.10 is: 682.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.51 : 911.64 = 495.10 : x
  2. Step 2: Convert to fraction form
    661.51/911.64 = 495.10/x
  3. Step 3: Cross multiply
    661.51x = 911.64 × 495.10
  4. Step 4: Simplify right side
    661.51x = 451,352.96
  5. Step 5: Solve for x
    x = 451,352.96/661.51
  6. Step 6: Final answer
    x = 682.31

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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.