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Finding the Fourth Proportional to 948.81, 1,422.16 and 401.37

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Solution

The fourth proportional to 948.81, 1,422.16 and 401.37 is: 601.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.81 : 1,422.16 = 401.37 : x
  2. Step 2: Convert to fraction form
    948.81/1,422.16 = 401.37/x
  3. Step 3: Cross multiply
    948.81x = 1,422.16 × 401.37
  4. Step 4: Simplify right side
    948.81x = 570,812.36
  5. Step 5: Solve for x
    x = 570,812.36/948.81
  6. Step 6: Final answer
    x = 601.61

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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.