Home / 1,513.23-2,268.46-589.41

Finding the Fourth Proportional to 1,513.23, 2,268.46 and 589.41

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Solution

The fourth proportional to 1,513.23, 2,268.46 and 589.41 is: 883.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.23 : 2,268.46 = 589.41 : x
  2. Step 2: Convert to fraction form
    1,513.23/2,268.46 = 589.41/x
  3. Step 3: Cross multiply
    1,513.23x = 2,268.46 × 589.41
  4. Step 4: Simplify right side
    1,513.23x = 1,337,053.01
  5. Step 5: Solve for x
    x = 1,337,053.01/1,513.23
  6. Step 6: Final answer
    x = 883.58

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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.