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Finding the Fourth Proportional to 851.32, 1,274.92 and 753.94

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Solution

The fourth proportional to 851.32, 1,274.92 and 753.94 is: 1,129.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.32 : 1,274.92 = 753.94 : x
  2. Step 2: Convert to fraction form
    851.32/1,274.92 = 753.94/x
  3. Step 3: Cross multiply
    851.32x = 1,274.92 × 753.94
  4. Step 4: Simplify right side
    851.32x = 961,213.18
  5. Step 5: Solve for x
    x = 961,213.18/851.32
  6. Step 6: Final answer
    x = 1,129.09

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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.