Home / 1,455.24-2,180.94-684.36

Finding the Fourth Proportional to 1,455.24, 2,180.94 and 684.36

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Solution

The fourth proportional to 1,455.24, 2,180.94 and 684.36 is: 1,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.24 : 2,180.94 = 684.36 : x
  2. Step 2: Convert to fraction form
    1,455.24/2,180.94 = 684.36/x
  3. Step 3: Cross multiply
    1,455.24x = 2,180.94 × 684.36
  4. Step 4: Simplify right side
    1,455.24x = 1,492,548.10
  5. Step 5: Solve for x
    x = 1,492,548.10/1,455.24
  6. Step 6: Final answer
    x = 1,025.64

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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.