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Finding the Fourth Proportional to 948.33, 1,422.31 and 400.89

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Solution

The fourth proportional to 948.33, 1,422.31 and 400.89 is: 601.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.33 : 1,422.31 = 400.89 : x
  2. Step 2: Convert to fraction form
    948.33/1,422.31 = 400.89/x
  3. Step 3: Cross multiply
    948.33x = 1,422.31 × 400.89
  4. Step 4: Simplify right side
    948.33x = 570,187.85
  5. Step 5: Solve for x
    x = 570,187.85/948.33
  6. Step 6: Final answer
    x = 601.26

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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.