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Finding the Fourth Proportional to 806.85, 1,112.90 and 718.91

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Solution

The fourth proportional to 806.85, 1,112.90 and 718.91 is: 991.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.85 : 1,112.90 = 718.91 : x
  2. Step 2: Convert to fraction form
    806.85/1,112.90 = 718.91/x
  3. Step 3: Cross multiply
    806.85x = 1,112.90 × 718.91
  4. Step 4: Simplify right side
    806.85x = 800,074.94
  5. Step 5: Solve for x
    x = 800,074.94/806.85
  6. Step 6: Final answer
    x = 991.60

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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.