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Finding the Fourth Proportional to 1,950.26, 2,924.66 and 780.54

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Solution

The fourth proportional to 1,950.26, 2,924.66 and 780.54 is: 1,170.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.26 : 2,924.66 = 780.54 : x
  2. Step 2: Convert to fraction form
    1,950.26/2,924.66 = 780.54/x
  3. Step 3: Cross multiply
    1,950.26x = 2,924.66 × 780.54
  4. Step 4: Simplify right side
    1,950.26x = 2,282,814.12
  5. Step 5: Solve for x
    x = 2,282,814.12/1,950.26
  6. Step 6: Final answer
    x = 1,170.52

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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.