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Finding the Fourth Proportional to 632.37, 947.61 and 323.55

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Solution

The fourth proportional to 632.37, 947.61 and 323.55 is: 484.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.37 : 947.61 = 323.55 : x
  2. Step 2: Convert to fraction form
    632.37/947.61 = 323.55/x
  3. Step 3: Cross multiply
    632.37x = 947.61 × 323.55
  4. Step 4: Simplify right side
    632.37x = 306,599.22
  5. Step 5: Solve for x
    x = 306,599.22/632.37
  6. Step 6: Final answer
    x = 484.84

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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.