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Finding the Fourth Proportional to 1,346.50, 1,858.50 and 822.97

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Solution

The fourth proportional to 1,346.50, 1,858.50 and 822.97 is: 1,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.50 : 1,858.50 = 822.97 : x
  2. Step 2: Convert to fraction form
    1,346.50/1,858.50 = 822.97/x
  3. Step 3: Cross multiply
    1,346.50x = 1,858.50 × 822.97
  4. Step 4: Simplify right side
    1,346.50x = 1,529,480.45
  5. Step 5: Solve for x
    x = 1,529,480.45/1,346.50
  6. Step 6: Final answer
    x = 1,135.90

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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.