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Finding the Fourth Proportional to 634.38, 949.89 and 510.37

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Solution

The fourth proportional to 634.38, 949.89 and 510.37 is: 764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.38 : 949.89 = 510.37 : x
  2. Step 2: Convert to fraction form
    634.38/949.89 = 510.37/x
  3. Step 3: Cross multiply
    634.38x = 949.89 × 510.37
  4. Step 4: Simplify right side
    634.38x = 484,795.36
  5. Step 5: Solve for x
    x = 484,795.36/634.38
  6. Step 6: Final answer
    x = 764.20

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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.