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Finding the Fourth Proportional to 1,438.06, 2,157.40 and 779.91

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Solution

The fourth proportional to 1,438.06, 2,157.40 and 779.91 is: 1,170.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.06 : 2,157.40 = 779.91 : x
  2. Step 2: Convert to fraction form
    1,438.06/2,157.40 = 779.91/x
  3. Step 3: Cross multiply
    1,438.06x = 2,157.40 × 779.91
  4. Step 4: Simplify right side
    1,438.06x = 1,682,578.47
  5. Step 5: Solve for x
    x = 1,682,578.47/1,438.06
  6. Step 6: Final answer
    x = 1,170.03

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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.