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Finding the Fourth Proportional to 650.22, 897.65 and 398.31

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Solution

The fourth proportional to 650.22, 897.65 and 398.31 is: 549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.22 : 897.65 = 398.31 : x
  2. Step 2: Convert to fraction form
    650.22/897.65 = 398.31/x
  3. Step 3: Cross multiply
    650.22x = 897.65 × 398.31
  4. Step 4: Simplify right side
    650.22x = 357,542.97
  5. Step 5: Solve for x
    x = 357,542.97/650.22
  6. Step 6: Final answer
    x = 549.88

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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.