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Finding the Fourth Proportional to 1,368.26, 2,050.46 and 782.06

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Solution

The fourth proportional to 1,368.26, 2,050.46 and 782.06 is: 1,171.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.26 : 2,050.46 = 782.06 : x
  2. Step 2: Convert to fraction form
    1,368.26/2,050.46 = 782.06/x
  3. Step 3: Cross multiply
    1,368.26x = 2,050.46 × 782.06
  4. Step 4: Simplify right side
    1,368.26x = 1,603,578.84
  5. Step 5: Solve for x
    x = 1,603,578.84/1,368.26
  6. Step 6: Final answer
    x = 1,171.98

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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.