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Finding the Fourth Proportional to 634.42, 950.59 and 287.25

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Solution

The fourth proportional to 634.42, 950.59 and 287.25 is: 430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.42 : 950.59 = 287.25 : x
  2. Step 2: Convert to fraction form
    634.42/950.59 = 287.25/x
  3. Step 3: Cross multiply
    634.42x = 950.59 × 287.25
  4. Step 4: Simplify right side
    634.42x = 273,056.98
  5. Step 5: Solve for x
    x = 273,056.98/634.42
  6. Step 6: Final answer
    x = 430.40

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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.