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Finding the Fourth Proportional to 426.94, 635.81 and 417.83

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Solution

The fourth proportional to 426.94, 635.81 and 417.83 is: 622.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.94 : 635.81 = 417.83 : x
  2. Step 2: Convert to fraction form
    426.94/635.81 = 417.83/x
  3. Step 3: Cross multiply
    426.94x = 635.81 × 417.83
  4. Step 4: Simplify right side
    426.94x = 265,655.22
  5. Step 5: Solve for x
    x = 265,655.22/426.94
  6. Step 6: Final answer
    x = 622.23

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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.