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Finding the Fourth Proportional to 427.37, 586.31 and 406.71

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Solution

The fourth proportional to 427.37, 586.31 and 406.71 is: 557.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.37 : 586.31 = 406.71 : x
  2. Step 2: Convert to fraction form
    427.37/586.31 = 406.71/x
  3. Step 3: Cross multiply
    427.37x = 586.31 × 406.71
  4. Step 4: Simplify right side
    427.37x = 238,458.14
  5. Step 5: Solve for x
    x = 238,458.14/427.37
  6. Step 6: Final answer
    x = 557.97

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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.