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Finding the Fourth Proportional to 650.98, 898.37 and 371.23

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Solution

The fourth proportional to 650.98, 898.37 and 371.23 is: 512.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.98 : 898.37 = 371.23 : x
  2. Step 2: Convert to fraction form
    650.98/898.37 = 371.23/x
  3. Step 3: Cross multiply
    650.98x = 898.37 × 371.23
  4. Step 4: Simplify right side
    650.98x = 333,501.90
  5. Step 5: Solve for x
    x = 333,501.90/650.98
  6. Step 6: Final answer
    x = 512.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.