Home / 1,055.94-1,584.23-325.58

Finding the Fourth Proportional to 1,055.94, 1,584.23 and 325.58

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Solution

The fourth proportional to 1,055.94, 1,584.23 and 325.58 is: 488.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.94 : 1,584.23 = 325.58 : x
  2. Step 2: Convert to fraction form
    1,055.94/1,584.23 = 325.58/x
  3. Step 3: Cross multiply
    1,055.94x = 1,584.23 × 325.58
  4. Step 4: Simplify right side
    1,055.94x = 515,784.05
  5. Step 5: Solve for x
    x = 515,784.05/1,055.94
  6. Step 6: Final answer
    x = 488.46

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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.