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Finding the Fourth Proportional to 483.63, 725.88 and 301.38

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Solution

The fourth proportional to 483.63, 725.88 and 301.38 is: 452.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.63 : 725.88 = 301.38 : x
  2. Step 2: Convert to fraction form
    483.63/725.88 = 301.38/x
  3. Step 3: Cross multiply
    483.63x = 725.88 × 301.38
  4. Step 4: Simplify right side
    483.63x = 218,765.71
  5. Step 5: Solve for x
    x = 218,765.71/483.63
  6. Step 6: Final answer
    x = 452.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.