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Finding the Fourth Proportional to 1,320.21, 1,821.89 and 822.55

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Solution

The fourth proportional to 1,320.21, 1,821.89 and 822.55 is: 1,135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.21 : 1,821.89 = 822.55 : x
  2. Step 2: Convert to fraction form
    1,320.21/1,821.89 = 822.55/x
  3. Step 3: Cross multiply
    1,320.21x = 1,821.89 × 822.55
  4. Step 4: Simplify right side
    1,320.21x = 1,498,595.62
  5. Step 5: Solve for x
    x = 1,498,595.62/1,320.21
  6. Step 6: Final answer
    x = 1,135.12

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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.