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Finding the Fourth Proportional to 812.08, 1,126.21 and 782.92

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Solution

The fourth proportional to 812.08, 1,126.21 and 782.92 is: 1,085.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.08 : 1,126.21 = 782.92 : x
  2. Step 2: Convert to fraction form
    812.08/1,126.21 = 782.92/x
  3. Step 3: Cross multiply
    812.08x = 1,126.21 × 782.92
  4. Step 4: Simplify right side
    812.08x = 881,732.33
  5. Step 5: Solve for x
    x = 881,732.33/812.08
  6. Step 6: Final answer
    x = 1,085.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.