Home / 1,161.12-1,742.36-431.21

Finding the Fourth Proportional to 1,161.12, 1,742.36 and 431.21

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Solution

The fourth proportional to 1,161.12, 1,742.36 and 431.21 is: 647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.12 : 1,742.36 = 431.21 : x
  2. Step 2: Convert to fraction form
    1,161.12/1,742.36 = 431.21/x
  3. Step 3: Cross multiply
    1,161.12x = 1,742.36 × 431.21
  4. Step 4: Simplify right side
    1,161.12x = 751,323.06
  5. Step 5: Solve for x
    x = 751,323.06/1,161.12
  6. Step 6: Final answer
    x = 647.07

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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.