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Finding the Fourth Proportional to 805.63, 1,109.87 and 757.19

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Solution

The fourth proportional to 805.63, 1,109.87 and 757.19 is: 1,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.63 : 1,109.87 = 757.19 : x
  2. Step 2: Convert to fraction form
    805.63/1,109.87 = 757.19/x
  3. Step 3: Cross multiply
    805.63x = 1,109.87 × 757.19
  4. Step 4: Simplify right side
    805.63x = 840,374.52
  5. Step 5: Solve for x
    x = 840,374.52/805.63
  6. Step 6: Final answer
    x = 1,043.13

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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.