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Finding the Fourth Proportional to 466.09, 639.36 and 438.14

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Solution

The fourth proportional to 466.09, 639.36 and 438.14 is: 601.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.09 : 639.36 = 438.14 : x
  2. Step 2: Convert to fraction form
    466.09/639.36 = 438.14/x
  3. Step 3: Cross multiply
    466.09x = 639.36 × 438.14
  4. Step 4: Simplify right side
    466.09x = 280,130.79
  5. Step 5: Solve for x
    x = 280,130.79/466.09
  6. Step 6: Final answer
    x = 601.03

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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.