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Finding the Fourth Proportional to 1,320.18, 1,821.33 and 822.57

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Solution

The fourth proportional to 1,320.18, 1,821.33 and 822.57 is: 1,134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.18 : 1,821.33 = 822.57 : x
  2. Step 2: Convert to fraction form
    1,320.18/1,821.33 = 822.57/x
  3. Step 3: Cross multiply
    1,320.18x = 1,821.33 × 822.57
  4. Step 4: Simplify right side
    1,320.18x = 1,498,171.42
  5. Step 5: Solve for x
    x = 1,498,171.42/1,320.18
  6. Step 6: Final answer
    x = 1,134.82

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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.