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Finding the Fourth Proportional to 948.37, 1,422.14 and 298.75

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Solution

The fourth proportional to 948.37, 1,422.14 and 298.75 is: 447.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.37 : 1,422.14 = 298.75 : x
  2. Step 2: Convert to fraction form
    948.37/1,422.14 = 298.75/x
  3. Step 3: Cross multiply
    948.37x = 1,422.14 × 298.75
  4. Step 4: Simplify right side
    948.37x = 424,857.21
  5. Step 5: Solve for x
    x = 424,857.21/948.37
  6. Step 6: Final answer
    x = 447.99

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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.