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Finding the Fourth Proportional to 474.26, 650.30 and 427.44

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Solution

The fourth proportional to 474.26, 650.30 and 427.44 is: 586.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.26 : 650.30 = 427.44 : x
  2. Step 2: Convert to fraction form
    474.26/650.30 = 427.44/x
  3. Step 3: Cross multiply
    474.26x = 650.30 × 427.44
  4. Step 4: Simplify right side
    474.26x = 277,962.09
  5. Step 5: Solve for x
    x = 277,962.09/474.26
  6. Step 6: Final answer
    x = 586.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.