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Finding the Fourth Proportional to 686.20, 945.12 and 511.24

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Solution

The fourth proportional to 686.20, 945.12 and 511.24 is: 704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.20 : 945.12 = 511.24 : x
  2. Step 2: Convert to fraction form
    686.20/945.12 = 511.24/x
  3. Step 3: Cross multiply
    686.20x = 945.12 × 511.24
  4. Step 4: Simplify right side
    686.20x = 483,183.15
  5. Step 5: Solve for x
    x = 483,183.15/686.20
  6. Step 6: Final answer
    x = 704.14

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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.