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Finding the Fourth Proportional to 1,276.92, 1,762.20 and 779.40

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Solution

The fourth proportional to 1,276.92, 1,762.20 and 779.40 is: 1,075.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.92 : 1,762.20 = 779.40 : x
  2. Step 2: Convert to fraction form
    1,276.92/1,762.20 = 779.40/x
  3. Step 3: Cross multiply
    1,276.92x = 1,762.20 × 779.40
  4. Step 4: Simplify right side
    1,276.92x = 1,373,458.68
  5. Step 5: Solve for x
    x = 1,373,458.68/1,276.92
  6. Step 6: Final answer
    x = 1,075.60

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