Home / 1,025.02-1,538.41-409.16

Finding the Fourth Proportional to 1,025.02, 1,538.41 and 409.16

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Solution

The fourth proportional to 1,025.02, 1,538.41 and 409.16 is: 614.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.02 : 1,538.41 = 409.16 : x
  2. Step 2: Convert to fraction form
    1,025.02/1,538.41 = 409.16/x
  3. Step 3: Cross multiply
    1,025.02x = 1,538.41 × 409.16
  4. Step 4: Simplify right side
    1,025.02x = 629,455.84
  5. Step 5: Solve for x
    x = 629,455.84/1,025.02
  6. Step 6: Final answer
    x = 614.09

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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.