Home / 1,106.81-1,646.26-1,008.19

Finding the Fourth Proportional to 1,106.81, 1,646.26 and 1,008.19

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Solution

The fourth proportional to 1,106.81, 1,646.26 and 1,008.19 is: 1,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.81 : 1,646.26 = 1,008.19 : x
  2. Step 2: Convert to fraction form
    1,106.81/1,646.26 = 1,008.19/x
  3. Step 3: Cross multiply
    1,106.81x = 1,646.26 × 1,008.19
  4. Step 4: Simplify right side
    1,106.81x = 1,659,742.87
  5. Step 5: Solve for x
    x = 1,659,742.87/1,106.81
  6. Step 6: Final answer
    x = 1,499.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.