Home / 1,109.22-1,664.13-339.90

Finding the Fourth Proportional to 1,109.22, 1,664.13 and 339.90

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Solution

The fourth proportional to 1,109.22, 1,664.13 and 339.90 is: 509.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.22 : 1,664.13 = 339.90 : x
  2. Step 2: Convert to fraction form
    1,109.22/1,664.13 = 339.90/x
  3. Step 3: Cross multiply
    1,109.22x = 1,664.13 × 339.90
  4. Step 4: Simplify right side
    1,109.22x = 565,637.79
  5. Step 5: Solve for x
    x = 565,637.79/1,109.22
  6. Step 6: Final answer
    x = 509.94

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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.