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Finding the Fourth Proportional to 484.44, 729.32 and 426.99

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Solution

The fourth proportional to 484.44, 729.32 and 426.99 is: 642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.44 : 729.32 = 426.99 : x
  2. Step 2: Convert to fraction form
    484.44/729.32 = 426.99/x
  3. Step 3: Cross multiply
    484.44x = 729.32 × 426.99
  4. Step 4: Simplify right side
    484.44x = 311,412.35
  5. Step 5: Solve for x
    x = 311,412.35/484.44
  6. Step 6: Final answer
    x = 642.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.