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Finding the Fourth Proportional to 847.81, 1,263.39 and 819.94

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Solution

The fourth proportional to 847.81, 1,263.39 and 819.94 is: 1,221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.81 : 1,263.39 = 819.94 : x
  2. Step 2: Convert to fraction form
    847.81/1,263.39 = 819.94/x
  3. Step 3: Cross multiply
    847.81x = 1,263.39 × 819.94
  4. Step 4: Simplify right side
    847.81x = 1,035,904.00
  5. Step 5: Solve for x
    x = 1,035,904.00/847.81
  6. Step 6: Final answer
    x = 1,221.86

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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.