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Finding the Fourth Proportional to 1,368.80, 1,889.02 and 779.52

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Solution

The fourth proportional to 1,368.80, 1,889.02 and 779.52 is: 1,075.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.80 : 1,889.02 = 779.52 : x
  2. Step 2: Convert to fraction form
    1,368.80/1,889.02 = 779.52/x
  3. Step 3: Cross multiply
    1,368.80x = 1,889.02 × 779.52
  4. Step 4: Simplify right side
    1,368.80x = 1,472,528.87
  5. Step 5: Solve for x
    x = 1,472,528.87/1,368.80
  6. Step 6: Final answer
    x = 1,075.78

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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.