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Finding the Fourth Proportional to 1,251.21, 1,727.10 and 779.19

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Solution

The fourth proportional to 1,251.21, 1,727.10 and 779.19 is: 1,075.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.21 : 1,727.10 = 779.19 : x
  2. Step 2: Convert to fraction form
    1,251.21/1,727.10 = 779.19/x
  3. Step 3: Cross multiply
    1,251.21x = 1,727.10 × 779.19
  4. Step 4: Simplify right side
    1,251.21x = 1,345,739.05
  5. Step 5: Solve for x
    x = 1,345,739.05/1,251.21
  6. Step 6: Final answer
    x = 1,075.55

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1.5x scale

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.