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Finding the Fourth Proportional to 425.58, 639.57 and 409.38

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Solution

The fourth proportional to 425.58, 639.57 and 409.38 is: 615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.58 : 639.57 = 409.38 : x
  2. Step 2: Convert to fraction form
    425.58/639.57 = 409.38/x
  3. Step 3: Cross multiply
    425.58x = 639.57 × 409.38
  4. Step 4: Simplify right side
    425.58x = 261,827.17
  5. Step 5: Solve for x
    x = 261,827.17/425.58
  6. Step 6: Final answer
    x = 615.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.