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Finding the Fourth Proportional to 631.90, 948.21 and 285.25

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Solution

The fourth proportional to 631.90, 948.21 and 285.25 is: 428.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.90 : 948.21 = 285.25 : x
  2. Step 2: Convert to fraction form
    631.90/948.21 = 285.25/x
  3. Step 3: Cross multiply
    631.90x = 948.21 × 285.25
  4. Step 4: Simplify right side
    631.90x = 270,476.90
  5. Step 5: Solve for x
    x = 270,476.90/631.90
  6. Step 6: Final answer
    x = 428.04

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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.