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Finding the Fourth Proportional to 484.50, 664.52 and 426.18

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Solution

The fourth proportional to 484.50, 664.52 and 426.18 is: 584.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.50 : 664.52 = 426.18 : x
  2. Step 2: Convert to fraction form
    484.50/664.52 = 426.18/x
  3. Step 3: Cross multiply
    484.50x = 664.52 × 426.18
  4. Step 4: Simplify right side
    484.50x = 283,203.00
  5. Step 5: Solve for x
    x = 283,203.00/484.50
  6. Step 6: Final answer
    x = 584.53

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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.