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Finding the Fourth Proportional to 820.53, 1,232.75 and 686.54

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Solution

The fourth proportional to 820.53, 1,232.75 and 686.54 is: 1,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.53 : 1,232.75 = 686.54 : x
  2. Step 2: Convert to fraction form
    820.53/1,232.75 = 686.54/x
  3. Step 3: Cross multiply
    820.53x = 1,232.75 × 686.54
  4. Step 4: Simplify right side
    820.53x = 846,336.98
  5. Step 5: Solve for x
    x = 846,336.98/820.53
  6. Step 6: Final answer
    x = 1,031.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.