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Finding the Fourth Proportional to 632.34, 947.33 and 323.87

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Solution

The fourth proportional to 632.34, 947.33 and 323.87 is: 485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.34 : 947.33 = 323.87 : x
  2. Step 2: Convert to fraction form
    632.34/947.33 = 323.87/x
  3. Step 3: Cross multiply
    632.34x = 947.33 × 323.87
  4. Step 4: Simplify right side
    632.34x = 306,806.63
  5. Step 5: Solve for x
    x = 306,806.63/632.34
  6. Step 6: Final answer
    x = 485.19

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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.