Home / 1,419.24-2,128.10-494.68

Finding the Fourth Proportional to 1,419.24, 2,128.10 and 494.68

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Solution

The fourth proportional to 1,419.24, 2,128.10 and 494.68 is: 741.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.24 : 2,128.10 = 494.68 : x
  2. Step 2: Convert to fraction form
    1,419.24/2,128.10 = 494.68/x
  3. Step 3: Cross multiply
    1,419.24x = 2,128.10 × 494.68
  4. Step 4: Simplify right side
    1,419.24x = 1,052,728.51
  5. Step 5: Solve for x
    x = 1,052,728.51/1,419.24
  6. Step 6: Final answer
    x = 741.76

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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.