Home / 1,742.81-2,614.37-493.41

Finding the Fourth Proportional to 1,742.81, 2,614.37 and 493.41

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Solution

The fourth proportional to 1,742.81, 2,614.37 and 493.41 is: 740.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.81 : 2,614.37 = 493.41 : x
  2. Step 2: Convert to fraction form
    1,742.81/2,614.37 = 493.41/x
  3. Step 3: Cross multiply
    1,742.81x = 2,614.37 × 493.41
  4. Step 4: Simplify right side
    1,742.81x = 1,289,947.30
  5. Step 5: Solve for x
    x = 1,289,947.30/1,742.81
  6. Step 6: Final answer
    x = 740.15

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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.