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Finding the Fourth Proportional to 1,719.83, 2,578.70 and 794.14

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Solution

The fourth proportional to 1,719.83, 2,578.70 and 794.14 is: 1,190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.83 : 2,578.70 = 794.14 : x
  2. Step 2: Convert to fraction form
    1,719.83/2,578.70 = 794.14/x
  3. Step 3: Cross multiply
    1,719.83x = 2,578.70 × 794.14
  4. Step 4: Simplify right side
    1,719.83x = 2,047,844.36
  5. Step 5: Solve for x
    x = 2,047,844.36/1,719.83
  6. Step 6: Final answer
    x = 1,190.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.