Home / 1,383.16-2,074.72-409.28

Finding the Fourth Proportional to 1,383.16, 2,074.72 and 409.28

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Solution

The fourth proportional to 1,383.16, 2,074.72 and 409.28 is: 613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.16 : 2,074.72 = 409.28 : x
  2. Step 2: Convert to fraction form
    1,383.16/2,074.72 = 409.28/x
  3. Step 3: Cross multiply
    1,383.16x = 2,074.72 × 409.28
  4. Step 4: Simplify right side
    1,383.16x = 849,141.40
  5. Step 5: Solve for x
    x = 849,141.40/1,383.16
  6. Step 6: Final answer
    x = 613.91

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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.