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Finding the Fourth Proportional to 463.18, 694.63 and 301.72

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Solution

The fourth proportional to 463.18, 694.63 and 301.72 is: 452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.18 : 694.63 = 301.72 : x
  2. Step 2: Convert to fraction form
    463.18/694.63 = 301.72/x
  3. Step 3: Cross multiply
    463.18x = 694.63 × 301.72
  4. Step 4: Simplify right side
    463.18x = 209,583.76
  5. Step 5: Solve for x
    x = 209,583.76/463.18
  6. Step 6: Final answer
    x = 452.49

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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.