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Finding the Fourth Proportional to 805, 1,109.96 and 627.77

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Solution

The fourth proportional to 805, 1,109.96 and 627.77 is: 865.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    805 : 1,109.96 = 627.77 : x
  2. Step 2: Convert to fraction form
    805/1,109.96 = 627.77/x
  3. Step 3: Cross multiply
    805x = 1,109.96 × 627.77
  4. Step 4: Simplify right side
    805x = 696,790.90
  5. Step 5: Solve for x
    x = 696,790.90/805
  6. Step 6: Final answer
    x = 865.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.