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Finding the Fourth Proportional to 942.21, 1,411.77 and 906.21

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Solution

The fourth proportional to 942.21, 1,411.77 and 906.21 is: 1,357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.21 : 1,411.77 = 906.21 : x
  2. Step 2: Convert to fraction form
    942.21/1,411.77 = 906.21/x
  3. Step 3: Cross multiply
    942.21x = 1,411.77 × 906.21
  4. Step 4: Simplify right side
    942.21x = 1,279,360.09
  5. Step 5: Solve for x
    x = 1,279,360.09/942.21
  6. Step 6: Final answer
    x = 1,357.83

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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.