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Finding the Fourth Proportional to 483.50, 663.12 and 463.64

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Solution

The fourth proportional to 483.50, 663.12 and 463.64 is: 635.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.50 : 663.12 = 463.64 : x
  2. Step 2: Convert to fraction form
    483.50/663.12 = 463.64/x
  3. Step 3: Cross multiply
    483.50x = 663.12 × 463.64
  4. Step 4: Simplify right side
    483.50x = 307,448.96
  5. Step 5: Solve for x
    x = 307,448.96/483.50
  6. Step 6: Final answer
    x = 635.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.