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Finding the Fourth Proportional to 435.14, 600.83 and 287.98

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Solution

The fourth proportional to 435.14, 600.83 and 287.98 is: 397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.14 : 600.83 = 287.98 : x
  2. Step 2: Convert to fraction form
    435.14/600.83 = 287.98/x
  3. Step 3: Cross multiply
    435.14x = 600.83 × 287.98
  4. Step 4: Simplify right side
    435.14x = 173,027.02
  5. Step 5: Solve for x
    x = 173,027.02/435.14
  6. Step 6: Final answer
    x = 397.64

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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.