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Finding the Fourth Proportional to 463.20, 643.62 and 457.38

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Solution

The fourth proportional to 463.20, 643.62 and 457.38 is: 635.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.20 : 643.62 = 457.38 : x
  2. Step 2: Convert to fraction form
    463.20/643.62 = 457.38/x
  3. Step 3: Cross multiply
    463.20x = 643.62 × 457.38
  4. Step 4: Simplify right side
    463.20x = 294,378.92
  5. Step 5: Solve for x
    x = 294,378.92/463.20
  6. Step 6: Final answer
    x = 635.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.