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Finding the Fourth Proportional to 1,705.44, 2,556.24 and 840.36

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Solution

The fourth proportional to 1,705.44, 2,556.24 and 840.36 is: 1,259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.44 : 2,556.24 = 840.36 : x
  2. Step 2: Convert to fraction form
    1,705.44/2,556.24 = 840.36/x
  3. Step 3: Cross multiply
    1,705.44x = 2,556.24 × 840.36
  4. Step 4: Simplify right side
    1,705.44x = 2,148,161.85
  5. Step 5: Solve for x
    x = 2,148,161.85/1,705.44
  6. Step 6: Final answer
    x = 1,259.59

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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.