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Finding the Fourth Proportional to 483.95, 667.86 and 287.57

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Solution

The fourth proportional to 483.95, 667.86 and 287.57 is: 396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.95 : 667.86 = 287.57 : x
  2. Step 2: Convert to fraction form
    483.95/667.86 = 287.57/x
  3. Step 3: Cross multiply
    483.95x = 667.86 × 287.57
  4. Step 4: Simplify right side
    483.95x = 192,056.50
  5. Step 5: Solve for x
    x = 192,056.50/483.95
  6. Step 6: Final answer
    x = 396.85

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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.