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Finding the Fourth Proportional to 582.09, 872.37 and 427.29

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Solution

The fourth proportional to 582.09, 872.37 and 427.29 is: 640.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.09 : 872.37 = 427.29 : x
  2. Step 2: Convert to fraction form
    582.09/872.37 = 427.29/x
  3. Step 3: Cross multiply
    582.09x = 872.37 × 427.29
  4. Step 4: Simplify right side
    582.09x = 372,752.84
  5. Step 5: Solve for x
    x = 372,752.84/582.09
  6. Step 6: Final answer
    x = 640.37

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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.