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Finding the Fourth Proportional to 686.68, 945.22 and 599.20

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Solution

The fourth proportional to 686.68, 945.22 and 599.20 is: 824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.68 : 945.22 = 599.20 : x
  2. Step 2: Convert to fraction form
    686.68/945.22 = 599.20/x
  3. Step 3: Cross multiply
    686.68x = 945.22 × 599.20
  4. Step 4: Simplify right side
    686.68x = 566,375.82
  5. Step 5: Solve for x
    x = 566,375.82/686.68
  6. Step 6: Final answer
    x = 824.80

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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.