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Finding the Fourth Proportional to 696.45, 1,044.69 and 285.31

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Solution

The fourth proportional to 696.45, 1,044.69 and 285.31 is: 427.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.45 : 1,044.69 = 285.31 : x
  2. Step 2: Convert to fraction form
    696.45/1,044.69 = 285.31/x
  3. Step 3: Cross multiply
    696.45x = 1,044.69 × 285.31
  4. Step 4: Simplify right side
    696.45x = 298,060.50
  5. Step 5: Solve for x
    x = 298,060.50/696.45
  6. Step 6: Final answer
    x = 427.97

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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.