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Finding the Fourth Proportional to 948.26, 1,422.39 and 331.99

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Solution

The fourth proportional to 948.26, 1,422.39 and 331.99 is: 497.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.26 : 1,422.39 = 331.99 : x
  2. Step 2: Convert to fraction form
    948.26/1,422.39 = 331.99/x
  3. Step 3: Cross multiply
    948.26x = 1,422.39 × 331.99
  4. Step 4: Simplify right side
    948.26x = 472,212.14
  5. Step 5: Solve for x
    x = 472,212.14/948.26
  6. Step 6: Final answer
    x = 497.98

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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.