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Finding the Fourth Proportional to 1,346.50, 1,858.18 and 822.44

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Solution

The fourth proportional to 1,346.50, 1,858.18 and 822.44 is: 1,134.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.50 : 1,858.18 = 822.44 : x
  2. Step 2: Convert to fraction form
    1,346.50/1,858.18 = 822.44/x
  3. Step 3: Cross multiply
    1,346.50x = 1,858.18 × 822.44
  4. Step 4: Simplify right side
    1,346.50x = 1,528,241.56
  5. Step 5: Solve for x
    x = 1,528,241.56/1,346.50
  6. Step 6: Final answer
    x = 1,134.97

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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.