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Finding the Fourth Proportional to 426.37, 584.94 and 405.71

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Solution

The fourth proportional to 426.37, 584.94 and 405.71 is: 556.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.37 : 584.94 = 405.71 : x
  2. Step 2: Convert to fraction form
    426.37/584.94 = 405.71/x
  3. Step 3: Cross multiply
    426.37x = 584.94 × 405.71
  4. Step 4: Simplify right side
    426.37x = 237,313.98
  5. Step 5: Solve for x
    x = 237,313.98/426.37
  6. Step 6: Final answer
    x = 556.60

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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.