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Finding the Fourth Proportional to 851.72, 1,269.17 and 803.12

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Solution

The fourth proportional to 851.72, 1,269.17 and 803.12 is: 1,196.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.72 : 1,269.17 = 803.12 : x
  2. Step 2: Convert to fraction form
    851.72/1,269.17 = 803.12/x
  3. Step 3: Cross multiply
    851.72x = 1,269.17 × 803.12
  4. Step 4: Simplify right side
    851.72x = 1,019,295.81
  5. Step 5: Solve for x
    x = 1,019,295.81/851.72
  6. Step 6: Final answer
    x = 1,196.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.