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Finding the Fourth Proportional to 1,442.57, 1,990.74 and 779.42

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Solution

The fourth proportional to 1,442.57, 1,990.74 and 779.42 is: 1,075.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.57 : 1,990.74 = 779.42 : x
  2. Step 2: Convert to fraction form
    1,442.57/1,990.74 = 779.42/x
  3. Step 3: Cross multiply
    1,442.57x = 1,990.74 × 779.42
  4. Step 4: Simplify right side
    1,442.57x = 1,551,612.62
  5. Step 5: Solve for x
    x = 1,551,612.62/1,442.57
  6. Step 6: Final answer
    x = 1,075.59

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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.