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Finding the Fourth Proportional to 696.28, 1,043.50 and 285.73

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Solution

The fourth proportional to 696.28, 1,043.50 and 285.73 is: 428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.28 : 1,043.50 = 285.73 : x
  2. Step 2: Convert to fraction form
    696.28/1,043.50 = 285.73/x
  3. Step 3: Cross multiply
    696.28x = 1,043.50 × 285.73
  4. Step 4: Simplify right side
    696.28x = 298,159.26
  5. Step 5: Solve for x
    x = 298,159.26/696.28
  6. Step 6: Final answer
    x = 428.22

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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.