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Finding the Fourth Proportional to 851.53, 1,269.80 and 784.21

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Solution

The fourth proportional to 851.53, 1,269.80 and 784.21 is: 1,169.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.53 : 1,269.80 = 784.21 : x
  2. Step 2: Convert to fraction form
    851.53/1,269.80 = 784.21/x
  3. Step 3: Cross multiply
    851.53x = 1,269.80 × 784.21
  4. Step 4: Simplify right side
    851.53x = 995,789.86
  5. Step 5: Solve for x
    x = 995,789.86/851.53
  6. Step 6: Final answer
    x = 1,169.41

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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.