Home / 1,677.42-2,516.49-811.26

Finding the Fourth Proportional to 1,677.42, 2,516.49 and 811.26

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Solution

The fourth proportional to 1,677.42, 2,516.49 and 811.26 is: 1,217.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.42 : 2,516.49 = 811.26 : x
  2. Step 2: Convert to fraction form
    1,677.42/2,516.49 = 811.26/x
  3. Step 3: Cross multiply
    1,677.42x = 2,516.49 × 811.26
  4. Step 4: Simplify right side
    1,677.42x = 2,041,527.68
  5. Step 5: Solve for x
    x = 2,041,527.68/1,677.42
  6. Step 6: Final answer
    x = 1,217.06

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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.