Home / 1,383.83-2,076.09-409.93

Finding the Fourth Proportional to 1,383.83, 2,076.09 and 409.93

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Solution

The fourth proportional to 1,383.83, 2,076.09 and 409.93 is: 615.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.83 : 2,076.09 = 409.93 : x
  2. Step 2: Convert to fraction form
    1,383.83/2,076.09 = 409.93/x
  3. Step 3: Cross multiply
    1,383.83x = 2,076.09 × 409.93
  4. Step 4: Simplify right side
    1,383.83x = 851,051.57
  5. Step 5: Solve for x
    x = 851,051.57/1,383.83
  6. Step 6: Final answer
    x = 615.00

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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.