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Finding the Fourth Proportional to 632.67, 949.23 and 286.08

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Solution

The fourth proportional to 632.67, 949.23 and 286.08 is: 429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.67 : 949.23 = 286.08 : x
  2. Step 2: Convert to fraction form
    632.67/949.23 = 286.08/x
  3. Step 3: Cross multiply
    632.67x = 949.23 × 286.08
  4. Step 4: Simplify right side
    632.67x = 271,555.72
  5. Step 5: Solve for x
    x = 271,555.72/632.67
  6. Step 6: Final answer
    x = 429.22

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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.