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Finding the Fourth Proportional to 696.52, 1,044.78 and 311.50

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Solution

The fourth proportional to 696.52, 1,044.78 and 311.50 is: 467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.52 : 1,044.78 = 311.50 : x
  2. Step 2: Convert to fraction form
    696.52/1,044.78 = 311.50/x
  3. Step 3: Cross multiply
    696.52x = 1,044.78 × 311.50
  4. Step 4: Simplify right side
    696.52x = 325,448.97
  5. Step 5: Solve for x
    x = 325,448.97/696.52
  6. Step 6: Final answer
    x = 467.25

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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.