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Finding the Fourth Proportional to 463.06, 643.31 and 458.83

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Solution

The fourth proportional to 463.06, 643.31 and 458.83 is: 637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.06 : 643.31 = 458.83 : x
  2. Step 2: Convert to fraction form
    463.06/643.31 = 458.83/x
  3. Step 3: Cross multiply
    463.06x = 643.31 × 458.83
  4. Step 4: Simplify right side
    463.06x = 295,169.93
  5. Step 5: Solve for x
    x = 295,169.93/463.06
  6. Step 6: Final answer
    x = 637.43

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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.