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Finding the Fourth Proportional to 1,704.12, 2,556.90 and 730.68

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Solution

The fourth proportional to 1,704.12, 2,556.90 and 730.68 is: 1,096.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.12 : 2,556.90 = 730.68 : x
  2. Step 2: Convert to fraction form
    1,704.12/2,556.90 = 730.68/x
  3. Step 3: Cross multiply
    1,704.12x = 2,556.90 × 730.68
  4. Step 4: Simplify right side
    1,704.12x = 1,868,275.69
  5. Step 5: Solve for x
    x = 1,868,275.69/1,704.12
  6. Step 6: Final answer
    x = 1,096.33

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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.