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Finding the Fourth Proportional to 779.40, 1,075.96 and 611.06

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Solution

The fourth proportional to 779.40, 1,075.96 and 611.06 is: 843.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.40 : 1,075.96 = 611.06 : x
  2. Step 2: Convert to fraction form
    779.40/1,075.96 = 611.06/x
  3. Step 3: Cross multiply
    779.40x = 1,075.96 × 611.06
  4. Step 4: Simplify right side
    779.40x = 657,469.21
  5. Step 5: Solve for x
    x = 657,469.21/779.40
  6. Step 6: Final answer
    x = 843.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.