Home / 1,342.09-2,012.64-464.36

Finding the Fourth Proportional to 1,342.09, 2,012.64 and 464.36

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Solution

The fourth proportional to 1,342.09, 2,012.64 and 464.36 is: 696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.09 : 2,012.64 = 464.36 : x
  2. Step 2: Convert to fraction form
    1,342.09/2,012.64 = 464.36/x
  3. Step 3: Cross multiply
    1,342.09x = 2,012.64 × 464.36
  4. Step 4: Simplify right side
    1,342.09x = 934,589.03
  5. Step 5: Solve for x
    x = 934,589.03/1,342.09
  6. Step 6: Final answer
    x = 696.37

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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.