Home / 1,206.24-1,809.18-328.80

Finding the Fourth Proportional to 1,206.24, 1,809.18 and 328.80

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Solution

The fourth proportional to 1,206.24, 1,809.18 and 328.80 is: 493.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.24 : 1,809.18 = 328.80 : x
  2. Step 2: Convert to fraction form
    1,206.24/1,809.18 = 328.80/x
  3. Step 3: Cross multiply
    1,206.24x = 1,809.18 × 328.80
  4. Step 4: Simplify right side
    1,206.24x = 594,858.38
  5. Step 5: Solve for x
    x = 594,858.38/1,206.24
  6. Step 6: Final answer
    x = 493.15

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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.