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Finding the Fourth Proportional to 435.19, 600.49 and 287.75

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Solution

The fourth proportional to 435.19, 600.49 and 287.75 is: 397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.19 : 600.49 = 287.75 : x
  2. Step 2: Convert to fraction form
    435.19/600.49 = 287.75/x
  3. Step 3: Cross multiply
    435.19x = 600.49 × 287.75
  4. Step 4: Simplify right side
    435.19x = 172,786.56
  5. Step 5: Solve for x
    x = 172,786.56/435.19
  6. Step 6: Final answer
    x = 397.04

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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.