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Finding the Fourth Proportional to 805.97, 1,112.77 and 619.13

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Solution

The fourth proportional to 805.97, 1,112.77 and 619.13 is: 854.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.97 : 1,112.77 = 619.13 : x
  2. Step 2: Convert to fraction form
    805.97/1,112.77 = 619.13/x
  3. Step 3: Cross multiply
    805.97x = 1,112.77 × 619.13
  4. Step 4: Simplify right side
    805.97x = 688,946.59
  5. Step 5: Solve for x
    x = 688,946.59/805.97
  6. Step 6: Final answer
    x = 854.81

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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.