Home / 1,205.30-1,808.26-339.62

Finding the Fourth Proportional to 1,205.30, 1,808.26 and 339.62

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Solution

The fourth proportional to 1,205.30, 1,808.26 and 339.62 is: 509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.30 : 1,808.26 = 339.62 : x
  2. Step 2: Convert to fraction form
    1,205.30/1,808.26 = 339.62/x
  3. Step 3: Cross multiply
    1,205.30x = 1,808.26 × 339.62
  4. Step 4: Simplify right side
    1,205.30x = 614,111.37
  5. Step 5: Solve for x
    x = 614,111.37/1,205.30
  6. Step 6: Final answer
    x = 509.51

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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.