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Finding the Fourth Proportional to 650.74, 897.70 and 443.38

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Solution

The fourth proportional to 650.74, 897.70 and 443.38 is: 611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.74 : 897.70 = 443.38 : x
  2. Step 2: Convert to fraction form
    650.74/897.70 = 443.38/x
  3. Step 3: Cross multiply
    650.74x = 897.70 × 443.38
  4. Step 4: Simplify right side
    650.74x = 398,016.63
  5. Step 5: Solve for x
    x = 398,016.63/650.74
  6. Step 6: Final answer
    x = 611.64

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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.