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Finding the Fourth Proportional to 425.92, 635.68 and 376.64

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Solution

The fourth proportional to 425.92, 635.68 and 376.64 is: 562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.92 : 635.68 = 376.64 : x
  2. Step 2: Convert to fraction form
    425.92/635.68 = 376.64/x
  3. Step 3: Cross multiply
    425.92x = 635.68 × 376.64
  4. Step 4: Simplify right side
    425.92x = 239,422.52
  5. Step 5: Solve for x
    x = 239,422.52/425.92
  6. Step 6: Final answer
    x = 562.13

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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.