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Finding the Fourth Proportional to 632.33, 948.80 and 285.77

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Solution

The fourth proportional to 632.33, 948.80 and 285.77 is: 428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.33 : 948.80 = 285.77 : x
  2. Step 2: Convert to fraction form
    632.33/948.80 = 285.77/x
  3. Step 3: Cross multiply
    632.33x = 948.80 × 285.77
  4. Step 4: Simplify right side
    632.33x = 271,138.58
  5. Step 5: Solve for x
    x = 271,138.58/632.33
  6. Step 6: Final answer
    x = 428.79

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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.