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Finding the Fourth Proportional to 1,795.55, 2,689.54 and 822.47

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Solution

The fourth proportional to 1,795.55, 2,689.54 and 822.47 is: 1,231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.55 : 2,689.54 = 822.47 : x
  2. Step 2: Convert to fraction form
    1,795.55/2,689.54 = 822.47/x
  3. Step 3: Cross multiply
    1,795.55x = 2,689.54 × 822.47
  4. Step 4: Simplify right side
    1,795.55x = 2,212,065.96
  5. Step 5: Solve for x
    x = 2,212,065.96/1,795.55
  6. Step 6: Final answer
    x = 1,231.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.