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Finding the Fourth Proportional to 425.62, 635.27 and 407.80

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Solution

The fourth proportional to 425.62, 635.27 and 407.80 is: 608.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.62 : 635.27 = 407.80 : x
  2. Step 2: Convert to fraction form
    425.62/635.27 = 407.80/x
  3. Step 3: Cross multiply
    425.62x = 635.27 × 407.80
  4. Step 4: Simplify right side
    425.62x = 259,063.11
  5. Step 5: Solve for x
    x = 259,063.11/425.62
  6. Step 6: Final answer
    x = 608.67

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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.