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Finding the Fourth Proportional to 822.45, 1,120.50 and 805.59

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Solution

The fourth proportional to 822.45, 1,120.50 and 805.59 is: 1,097.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.45 : 1,120.50 = 805.59 : x
  2. Step 2: Convert to fraction form
    822.45/1,120.50 = 805.59/x
  3. Step 3: Cross multiply
    822.45x = 1,120.50 × 805.59
  4. Step 4: Simplify right side
    822.45x = 902,659.57
  5. Step 5: Solve for x
    x = 902,659.57/822.45
  6. Step 6: Final answer
    x = 1,097.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.