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Finding the Fourth Proportional to 832.88, 1,150.20 and 686

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Solution

The fourth proportional to 832.88, 1,150.20 and 686 is: 947.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.88 : 1,150.20 = 686 : x
  2. Step 2: Convert to fraction form
    832.88/1,150.20 = 686/x
  3. Step 3: Cross multiply
    832.88x = 1,150.20 × 686
  4. Step 4: Simplify right side
    832.88x = 789,037.20
  5. Step 5: Solve for x
    x = 789,037.20/832.88
  6. Step 6: Final answer
    x = 947.36

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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.