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Finding the Fourth Proportional to 462.68, 694.64 and 394.64

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Solution

The fourth proportional to 462.68, 694.64 and 394.64 is: 592.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.68 : 694.64 = 394.64 : x
  2. Step 2: Convert to fraction form
    462.68/694.64 = 394.64/x
  3. Step 3: Cross multiply
    462.68x = 694.64 × 394.64
  4. Step 4: Simplify right side
    462.68x = 274,132.73
  5. Step 5: Solve for x
    x = 274,132.73/462.68
  6. Step 6: Final answer
    x = 592.49

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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.