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Finding the Fourth Proportional to 1,703.85, 2,556.54 and 825.87

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Solution

The fourth proportional to 1,703.85, 2,556.54 and 825.87 is: 1,239.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.85 : 2,556.54 = 825.87 : x
  2. Step 2: Convert to fraction form
    1,703.85/2,556.54 = 825.87/x
  3. Step 3: Cross multiply
    1,703.85x = 2,556.54 × 825.87
  4. Step 4: Simplify right side
    1,703.85x = 2,111,369.69
  5. Step 5: Solve for x
    x = 2,111,369.69/1,703.85
  6. Step 6: Final answer
    x = 1,239.18

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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.