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Finding the Fourth Proportional to 425.69, 635.61 and 381.47

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Solution

The fourth proportional to 425.69, 635.61 and 381.47 is: 569.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.69 : 635.61 = 381.47 : x
  2. Step 2: Convert to fraction form
    425.69/635.61 = 381.47/x
  3. Step 3: Cross multiply
    425.69x = 635.61 × 381.47
  4. Step 4: Simplify right side
    425.69x = 242,467.74
  5. Step 5: Solve for x
    x = 242,467.74/425.69
  6. Step 6: Final answer
    x = 569.59

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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.