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Finding the Fourth Proportional to 463.05, 690.30 and 439.96

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Solution

The fourth proportional to 463.05, 690.30 and 439.96 is: 655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.05 : 690.30 = 439.96 : x
  2. Step 2: Convert to fraction form
    463.05/690.30 = 439.96/x
  3. Step 3: Cross multiply
    463.05x = 690.30 × 439.96
  4. Step 4: Simplify right side
    463.05x = 303,704.39
  5. Step 5: Solve for x
    x = 303,704.39/463.05
  6. Step 6: Final answer
    x = 655.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.