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Finding the Fourth Proportional to 650.26, 897.42 and 538.21

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Solution

The fourth proportional to 650.26, 897.42 and 538.21 is: 742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.26 : 897.42 = 538.21 : x
  2. Step 2: Convert to fraction form
    650.26/897.42 = 538.21/x
  3. Step 3: Cross multiply
    650.26x = 897.42 × 538.21
  4. Step 4: Simplify right side
    650.26x = 483,000.42
  5. Step 5: Solve for x
    x = 483,000.42/650.26
  6. Step 6: Final answer
    x = 742.78

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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.