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Finding the Fourth Proportional to 463.66, 694.78 and 258.29

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Solution

The fourth proportional to 463.66, 694.78 and 258.29 is: 387.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.66 : 694.78 = 258.29 : x
  2. Step 2: Convert to fraction form
    463.66/694.78 = 258.29/x
  3. Step 3: Cross multiply
    463.66x = 694.78 × 258.29
  4. Step 4: Simplify right side
    463.66x = 179,453.21
  5. Step 5: Solve for x
    x = 179,453.21/463.66
  6. Step 6: Final answer
    x = 387.04

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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.