Home / 1,109.24-1,664.16-339.76

Finding the Fourth Proportional to 1,109.24, 1,664.16 and 339.76

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Solution

The fourth proportional to 1,109.24, 1,664.16 and 339.76 is: 509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.24 : 1,664.16 = 339.76 : x
  2. Step 2: Convert to fraction form
    1,109.24/1,664.16 = 339.76/x
  3. Step 3: Cross multiply
    1,109.24x = 1,664.16 × 339.76
  4. Step 4: Simplify right side
    1,109.24x = 565,415.00
  5. Step 5: Solve for x
    x = 565,415.00/1,109.24
  6. Step 6: Final answer
    x = 509.73

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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.