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Finding the Fourth Proportional to 1,006.83, 1,383.45 and 819.86

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Solution

The fourth proportional to 1,006.83, 1,383.45 and 819.86 is: 1,126.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.83 : 1,383.45 = 819.86 : x
  2. Step 2: Convert to fraction form
    1,006.83/1,383.45 = 819.86/x
  3. Step 3: Cross multiply
    1,006.83x = 1,383.45 × 819.86
  4. Step 4: Simplify right side
    1,006.83x = 1,134,225.33
  5. Step 5: Solve for x
    x = 1,134,225.33/1,006.83
  6. Step 6: Final answer
    x = 1,126.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.