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Finding the Fourth Proportional to 686.11, 945.37 and 464.68

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Solution

The fourth proportional to 686.11, 945.37 and 464.68 is: 640.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.11 : 945.37 = 464.68 : x
  2. Step 2: Convert to fraction form
    686.11/945.37 = 464.68/x
  3. Step 3: Cross multiply
    686.11x = 945.37 × 464.68
  4. Step 4: Simplify right side
    686.11x = 439,294.53
  5. Step 5: Solve for x
    x = 439,294.53/686.11
  6. Step 6: Final answer
    x = 640.27

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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.