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Finding the Fourth Proportional to 452.61, 678.78 and 205.79

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Solution

The fourth proportional to 452.61, 678.78 and 205.79 is: 308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.61 : 678.78 = 205.79 : x
  2. Step 2: Convert to fraction form
    452.61/678.78 = 205.79/x
  3. Step 3: Cross multiply
    452.61x = 678.78 × 205.79
  4. Step 4: Simplify right side
    452.61x = 139,682.74
  5. Step 5: Solve for x
    x = 139,682.74/452.61
  6. Step 6: Final answer
    x = 308.62

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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.