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Finding the Fourth Proportional to 464.55, 639.61 and 394.46

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Solution

The fourth proportional to 464.55, 639.61 and 394.46 is: 543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.55 : 639.61 = 394.46 : x
  2. Step 2: Convert to fraction form
    464.55/639.61 = 394.46/x
  3. Step 3: Cross multiply
    464.55x = 639.61 × 394.46
  4. Step 4: Simplify right side
    464.55x = 252,300.56
  5. Step 5: Solve for x
    x = 252,300.56/464.55
  6. Step 6: Final answer
    x = 543.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.