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Finding the Fourth Proportional to 634.58, 949.89 and 580.75

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Solution

The fourth proportional to 634.58, 949.89 and 580.75 is: 869.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.58 : 949.89 = 580.75 : x
  2. Step 2: Convert to fraction form
    634.58/949.89 = 580.75/x
  3. Step 3: Cross multiply
    634.58x = 949.89 × 580.75
  4. Step 4: Simplify right side
    634.58x = 551,648.42
  5. Step 5: Solve for x
    x = 551,648.42/634.58
  6. Step 6: Final answer
    x = 869.31

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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.