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Finding the Fourth Proportional to 461.82, 633.21 and 438.33

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Solution

The fourth proportional to 461.82, 633.21 and 438.33 is: 601.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.82 : 633.21 = 438.33 : x
  2. Step 2: Convert to fraction form
    461.82/633.21 = 438.33/x
  3. Step 3: Cross multiply
    461.82x = 633.21 × 438.33
  4. Step 4: Simplify right side
    461.82x = 277,552.75
  5. Step 5: Solve for x
    x = 277,552.75/461.82
  6. Step 6: Final answer
    x = 601.00

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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.