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Finding the Fourth Proportional to 696.28, 1,043.64 and 285.31

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Solution

The fourth proportional to 696.28, 1,043.64 and 285.31 is: 427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.28 : 1,043.64 = 285.31 : x
  2. Step 2: Convert to fraction form
    696.28/1,043.64 = 285.31/x
  3. Step 3: Cross multiply
    696.28x = 1,043.64 × 285.31
  4. Step 4: Simplify right side
    696.28x = 297,760.93
  5. Step 5: Solve for x
    x = 297,760.93/696.28
  6. Step 6: Final answer
    x = 427.65

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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.