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Finding the Fourth Proportional to 463.01, 694.67 and 309.55

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Solution

The fourth proportional to 463.01, 694.67 and 309.55 is: 464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.01 : 694.67 = 309.55 : x
  2. Step 2: Convert to fraction form
    463.01/694.67 = 309.55/x
  3. Step 3: Cross multiply
    463.01x = 694.67 × 309.55
  4. Step 4: Simplify right side
    463.01x = 215,035.10
  5. Step 5: Solve for x
    x = 215,035.10/463.01
  6. Step 6: Final answer
    x = 464.43

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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.