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Finding the Fourth Proportional to 696.25, 1,044.42 and 311.50

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Solution

The fourth proportional to 696.25, 1,044.42 and 311.50 is: 467.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.25 : 1,044.42 = 311.50 : x
  2. Step 2: Convert to fraction form
    696.25/1,044.42 = 311.50/x
  3. Step 3: Cross multiply
    696.25x = 1,044.42 × 311.50
  4. Step 4: Simplify right side
    696.25x = 325,336.83
  5. Step 5: Solve for x
    x = 325,336.83/696.25
  6. Step 6: Final answer
    x = 467.27

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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.