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Finding the Fourth Proportional to 822.66, 1,233.94 and 206.35

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Solution

The fourth proportional to 822.66, 1,233.94 and 206.35 is: 309.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.66 : 1,233.94 = 206.35 : x
  2. Step 2: Convert to fraction form
    822.66/1,233.94 = 206.35/x
  3. Step 3: Cross multiply
    822.66x = 1,233.94 × 206.35
  4. Step 4: Simplify right side
    822.66x = 254,623.52
  5. Step 5: Solve for x
    x = 254,623.52/822.66
  6. Step 6: Final answer
    x = 309.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.