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Finding the Fourth Proportional to 1,556.22, 2,334.09 and 906.30

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Solution

The fourth proportional to 1,556.22, 2,334.09 and 906.30 is: 1,359.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.22 : 2,334.09 = 906.30 : x
  2. Step 2: Convert to fraction form
    1,556.22/2,334.09 = 906.30/x
  3. Step 3: Cross multiply
    1,556.22x = 2,334.09 × 906.30
  4. Step 4: Simplify right side
    1,556.22x = 2,115,385.77
  5. Step 5: Solve for x
    x = 2,115,385.77/1,556.22
  6. Step 6: Final answer
    x = 1,359.31

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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.