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Finding the Fourth Proportional to 438.20, 654.05 and 379.37

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Solution

The fourth proportional to 438.20, 654.05 and 379.37 is: 566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.20 : 654.05 = 379.37 : x
  2. Step 2: Convert to fraction form
    438.20/654.05 = 379.37/x
  3. Step 3: Cross multiply
    438.20x = 654.05 × 379.37
  4. Step 4: Simplify right side
    438.20x = 248,126.95
  5. Step 5: Solve for x
    x = 248,126.95/438.20
  6. Step 6: Final answer
    x = 566.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.