Home / 1,055.41-1,583.31-324.85

Finding the Fourth Proportional to 1,055.41, 1,583.31 and 324.85

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Solution

The fourth proportional to 1,055.41, 1,583.31 and 324.85 is: 487.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.41 : 1,583.31 = 324.85 : x
  2. Step 2: Convert to fraction form
    1,055.41/1,583.31 = 324.85/x
  3. Step 3: Cross multiply
    1,055.41x = 1,583.31 × 324.85
  4. Step 4: Simplify right side
    1,055.41x = 514,338.25
  5. Step 5: Solve for x
    x = 514,338.25/1,055.41
  6. Step 6: Final answer
    x = 487.34

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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.