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Finding the Fourth Proportional to 426.05, 585.13 and 376.86

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Solution

The fourth proportional to 426.05, 585.13 and 376.86 is: 517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.05 : 585.13 = 376.86 : x
  2. Step 2: Convert to fraction form
    426.05/585.13 = 376.86/x
  3. Step 3: Cross multiply
    426.05x = 585.13 × 376.86
  4. Step 4: Simplify right side
    426.05x = 220,511.15
  5. Step 5: Solve for x
    x = 220,511.15/426.05
  6. Step 6: Final answer
    x = 517.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.