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Finding the Fourth Proportional to 632.99, 948.90 and 427.63

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Solution

The fourth proportional to 632.99, 948.90 and 427.63 is: 641.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.99 : 948.90 = 427.63 : x
  2. Step 2: Convert to fraction form
    632.99/948.90 = 427.63/x
  3. Step 3: Cross multiply
    632.99x = 948.90 × 427.63
  4. Step 4: Simplify right side
    632.99x = 405,775.73
  5. Step 5: Solve for x
    x = 405,775.73/632.99
  6. Step 6: Final answer
    x = 641.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.