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Finding the Fourth Proportional to 686.56, 945.97 and 465.12

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Solution

The fourth proportional to 686.56, 945.97 and 465.12 is: 640.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.56 : 945.97 = 465.12 : x
  2. Step 2: Convert to fraction form
    686.56/945.97 = 465.12/x
  3. Step 3: Cross multiply
    686.56x = 945.97 × 465.12
  4. Step 4: Simplify right side
    686.56x = 439,987.24
  5. Step 5: Solve for x
    x = 439,987.24/686.56
  6. Step 6: Final answer
    x = 640.86

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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.