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Finding the Fourth Proportional to 632.21, 946.38 and 384.75

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Solution

The fourth proportional to 632.21, 946.38 and 384.75 is: 575.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.21 : 946.38 = 384.75 : x
  2. Step 2: Convert to fraction form
    632.21/946.38 = 384.75/x
  3. Step 3: Cross multiply
    632.21x = 946.38 × 384.75
  4. Step 4: Simplify right side
    632.21x = 364,121.15
  5. Step 5: Solve for x
    x = 364,121.15/632.21
  6. Step 6: Final answer
    x = 575.95

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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.