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Finding the Fourth Proportional to 805.40, 1,110.78 and 712.22

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Solution

The fourth proportional to 805.40, 1,110.78 and 712.22 is: 982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.40 : 1,110.78 = 712.22 : x
  2. Step 2: Convert to fraction form
    805.40/1,110.78 = 712.22/x
  3. Step 3: Cross multiply
    805.40x = 1,110.78 × 712.22
  4. Step 4: Simplify right side
    805.40x = 791,119.73
  5. Step 5: Solve for x
    x = 791,119.73/805.40
  6. Step 6: Final answer
    x = 982.27

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Double scale
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1.5x scale

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.