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Finding the Fourth Proportional to 1,218.84, 1,682.64 and 822.57

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Solution

The fourth proportional to 1,218.84, 1,682.64 and 822.57 is: 1,135.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.84 : 1,682.64 = 822.57 : x
  2. Step 2: Convert to fraction form
    1,218.84/1,682.64 = 822.57/x
  3. Step 3: Cross multiply
    1,218.84x = 1,682.64 × 822.57
  4. Step 4: Simplify right side
    1,218.84x = 1,384,089.18
  5. Step 5: Solve for x
    x = 1,384,089.18/1,218.84
  6. Step 6: Final answer
    x = 1,135.58

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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.