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Finding the Fourth Proportional to 650.43, 897.09 and 440.49

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Solution

The fourth proportional to 650.43, 897.09 and 440.49 is: 607.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.43 : 897.09 = 440.49 : x
  2. Step 2: Convert to fraction form
    650.43/897.09 = 440.49/x
  3. Step 3: Cross multiply
    650.43x = 897.09 × 440.49
  4. Step 4: Simplify right side
    650.43x = 395,159.17
  5. Step 5: Solve for x
    x = 395,159.17/650.43
  6. Step 6: Final answer
    x = 607.54

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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.