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Finding the Fourth Proportional to 618.60, 822.09 and 618.60

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Solution

The fourth proportional to 618.60, 822.09 and 618.60 is: 822.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.60 : 822.09 = 618.60 : x
  2. Step 2: Convert to fraction form
    618.60/822.09 = 618.60/x
  3. Step 3: Cross multiply
    618.60x = 822.09 × 618.60
  4. Step 4: Simplify right side
    618.60x = 508,544.87
  5. Step 5: Solve for x
    x = 508,544.87/618.60
  6. Step 6: Final answer
    x = 822.09

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.