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Finding the Fourth Proportional to 632.99, 949.67 and 308.54

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Solution

The fourth proportional to 632.99, 949.67 and 308.54 is: 462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.99 : 949.67 = 308.54 : x
  2. Step 2: Convert to fraction form
    632.99/949.67 = 308.54/x
  3. Step 3: Cross multiply
    632.99x = 949.67 × 308.54
  4. Step 4: Simplify right side
    632.99x = 293,011.18
  5. Step 5: Solve for x
    x = 293,011.18/632.99
  6. Step 6: Final answer
    x = 462.90

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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.