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Finding the Fourth Proportional to 696.42, 1,043.82 and 285.36

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Solution

The fourth proportional to 696.42, 1,043.82 and 285.36 is: 427.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.42 : 1,043.82 = 285.36 : x
  2. Step 2: Convert to fraction form
    696.42/1,043.82 = 285.36/x
  3. Step 3: Cross multiply
    696.42x = 1,043.82 × 285.36
  4. Step 4: Simplify right side
    696.42x = 297,864.48
  5. Step 5: Solve for x
    x = 297,864.48/696.42
  6. Step 6: Final answer
    x = 427.71

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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.