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Finding the Fourth Proportional to 632.10, 948.14 and 285.19

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Solution

The fourth proportional to 632.10, 948.14 and 285.19 is: 427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.10 : 948.14 = 285.19 : x
  2. Step 2: Convert to fraction form
    632.10/948.14 = 285.19/x
  3. Step 3: Cross multiply
    632.10x = 948.14 × 285.19
  4. Step 4: Simplify right side
    632.10x = 270,398.39
  5. Step 5: Solve for x
    x = 270,398.39/632.10
  6. Step 6: Final answer
    x = 427.78

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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.