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Finding the Fourth Proportional to 484.37, 668.21 and 287.77

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Solution

The fourth proportional to 484.37, 668.21 and 287.77 is: 396.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.37 : 668.21 = 287.77 : x
  2. Step 2: Convert to fraction form
    484.37/668.21 = 287.77/x
  3. Step 3: Cross multiply
    484.37x = 668.21 × 287.77
  4. Step 4: Simplify right side
    484.37x = 192,290.79
  5. Step 5: Solve for x
    x = 192,290.79/484.37
  6. Step 6: Final answer
    x = 396.99

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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.