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Finding the Fourth Proportional to 851.28, 1,274.24 and 804

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Solution

The fourth proportional to 851.28, 1,274.24 and 804 is: 1,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.28 : 1,274.24 = 804 : x
  2. Step 2: Convert to fraction form
    851.28/1,274.24 = 804/x
  3. Step 3: Cross multiply
    851.28x = 1,274.24 × 804
  4. Step 4: Simplify right side
    851.28x = 1,024,488.96
  5. Step 5: Solve for x
    x = 1,024,488.96/851.28
  6. Step 6: Final answer
    x = 1,203.47

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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.