Home / 1,162.23-1,742.27-584.43

Finding the Fourth Proportional to 1,162.23, 1,742.27 and 584.43

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Solution

The fourth proportional to 1,162.23, 1,742.27 and 584.43 is: 876.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.23 : 1,742.27 = 584.43 : x
  2. Step 2: Convert to fraction form
    1,162.23/1,742.27 = 584.43/x
  3. Step 3: Cross multiply
    1,162.23x = 1,742.27 × 584.43
  4. Step 4: Simplify right side
    1,162.23x = 1,018,231.93
  5. Step 5: Solve for x
    x = 1,018,231.93/1,162.23
  6. Step 6: Final answer
    x = 876.10

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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.