Home / 1,161.28-1,742.10-674.08

Finding the Fourth Proportional to 1,161.28, 1,742.10 and 674.08

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Solution

The fourth proportional to 1,161.28, 1,742.10 and 674.08 is: 1,011.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.28 : 1,742.10 = 674.08 : x
  2. Step 2: Convert to fraction form
    1,161.28/1,742.10 = 674.08/x
  3. Step 3: Cross multiply
    1,161.28x = 1,742.10 × 674.08
  4. Step 4: Simplify right side
    1,161.28x = 1,174,314.77
  5. Step 5: Solve for x
    x = 1,174,314.77/1,161.28
  6. Step 6: Final answer
    x = 1,011.22

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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.