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Finding the Fourth Proportional to 484.33, 667.95 and 287.50

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Solution

The fourth proportional to 484.33, 667.95 and 287.50 is: 396.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.33 : 667.95 = 287.50 : x
  2. Step 2: Convert to fraction form
    484.33/667.95 = 287.50/x
  3. Step 3: Cross multiply
    484.33x = 667.95 × 287.50
  4. Step 4: Simplify right side
    484.33x = 192,034.13
  5. Step 5: Solve for x
    x = 192,034.13/484.33
  6. Step 6: Final answer
    x = 396.49

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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.