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Finding the Fourth Proportional to 1,704.50, 2,556.48 and 780.02

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Solution

The fourth proportional to 1,704.50, 2,556.48 and 780.02 is: 1,169.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.50 : 2,556.48 = 780.02 : x
  2. Step 2: Convert to fraction form
    1,704.50/2,556.48 = 780.02/x
  3. Step 3: Cross multiply
    1,704.50x = 2,556.48 × 780.02
  4. Step 4: Simplify right side
    1,704.50x = 1,994,105.53
  5. Step 5: Solve for x
    x = 1,994,105.53/1,704.50
  6. Step 6: Final answer
    x = 1,169.91

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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.