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Finding the Fourth Proportional to 650.68, 897.89 and 401.91

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Solution

The fourth proportional to 650.68, 897.89 and 401.91 is: 554.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.68 : 897.89 = 401.91 : x
  2. Step 2: Convert to fraction form
    650.68/897.89 = 401.91/x
  3. Step 3: Cross multiply
    650.68x = 897.89 × 401.91
  4. Step 4: Simplify right side
    650.68x = 360,871.97
  5. Step 5: Solve for x
    x = 360,871.97/650.68
  6. Step 6: Final answer
    x = 554.61

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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.