Home / 1,025.24-1,537.99-477.54

Finding the Fourth Proportional to 1,025.24, 1,537.99 and 477.54

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Solution

The fourth proportional to 1,025.24, 1,537.99 and 477.54 is: 716.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.24 : 1,537.99 = 477.54 : x
  2. Step 2: Convert to fraction form
    1,025.24/1,537.99 = 477.54/x
  3. Step 3: Cross multiply
    1,025.24x = 1,537.99 × 477.54
  4. Step 4: Simplify right side
    1,025.24x = 734,450.55
  5. Step 5: Solve for x
    x = 734,450.55/1,025.24
  6. Step 6: Final answer
    x = 716.37

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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.