Home / 1,724.42-2,586.73-491.74

Finding the Fourth Proportional to 1,724.42, 2,586.73 and 491.74

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Solution

The fourth proportional to 1,724.42, 2,586.73 and 491.74 is: 737.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.42 : 2,586.73 = 491.74 : x
  2. Step 2: Convert to fraction form
    1,724.42/2,586.73 = 491.74/x
  3. Step 3: Cross multiply
    1,724.42x = 2,586.73 × 491.74
  4. Step 4: Simplify right side
    1,724.42x = 1,271,993.22
  5. Step 5: Solve for x
    x = 1,271,993.22/1,724.42
  6. Step 6: Final answer
    x = 737.63

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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.