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Finding the Fourth Proportional to 463.29, 643.48 and 450.33

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Solution

The fourth proportional to 463.29, 643.48 and 450.33 is: 625.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.29 : 643.48 = 450.33 : x
  2. Step 2: Convert to fraction form
    463.29/643.48 = 450.33/x
  3. Step 3: Cross multiply
    463.29x = 643.48 × 450.33
  4. Step 4: Simplify right side
    463.29x = 289,775.13
  5. Step 5: Solve for x
    x = 289,775.13/463.29
  6. Step 6: Final answer
    x = 625.48

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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.