Home / 1,232.23-1,847.80-462.19

Finding the Fourth Proportional to 1,232.23, 1,847.80 and 462.19

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Solution

The fourth proportional to 1,232.23, 1,847.80 and 462.19 is: 693.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.23 : 1,847.80 = 462.19 : x
  2. Step 2: Convert to fraction form
    1,232.23/1,847.80 = 462.19/x
  3. Step 3: Cross multiply
    1,232.23x = 1,847.80 × 462.19
  4. Step 4: Simplify right side
    1,232.23x = 854,028.91
  5. Step 5: Solve for x
    x = 854,028.91/1,232.23
  6. Step 6: Final answer
    x = 693.08

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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.