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Finding the Fourth Proportional to 632.63, 947.70 and 323.57

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Solution

The fourth proportional to 632.63, 947.70 and 323.57 is: 484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.63 : 947.70 = 323.57 : x
  2. Step 2: Convert to fraction form
    632.63/947.70 = 323.57/x
  3. Step 3: Cross multiply
    632.63x = 947.70 × 323.57
  4. Step 4: Simplify right side
    632.63x = 306,642.55
  5. Step 5: Solve for x
    x = 306,642.55/632.63
  6. Step 6: Final answer
    x = 484.71

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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.