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Finding the Fourth Proportional to 462.79, 693.65 and 205.75

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Solution

The fourth proportional to 462.79, 693.65 and 205.75 is: 308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.79 : 693.65 = 205.75 : x
  2. Step 2: Convert to fraction form
    462.79/693.65 = 205.75/x
  3. Step 3: Cross multiply
    462.79x = 693.65 × 205.75
  4. Step 4: Simplify right side
    462.79x = 142,717.46
  5. Step 5: Solve for x
    x = 142,717.46/462.79
  6. Step 6: Final answer
    x = 308.38

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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.