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Finding the Fourth Proportional to 424.45, 635.56 and 341.74

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Solution

The fourth proportional to 424.45, 635.56 and 341.74 is: 511.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.45 : 635.56 = 341.74 : x
  2. Step 2: Convert to fraction form
    424.45/635.56 = 341.74/x
  3. Step 3: Cross multiply
    424.45x = 635.56 × 341.74
  4. Step 4: Simplify right side
    424.45x = 217,196.27
  5. Step 5: Solve for x
    x = 217,196.27/424.45
  6. Step 6: Final answer
    x = 511.71

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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.