Home / 1,100.35-1,650.10-320.09

Finding the Fourth Proportional to 1,100.35, 1,650.10 and 320.09

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Solution

The fourth proportional to 1,100.35, 1,650.10 and 320.09 is: 480.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.35 : 1,650.10 = 320.09 : x
  2. Step 2: Convert to fraction form
    1,100.35/1,650.10 = 320.09/x
  3. Step 3: Cross multiply
    1,100.35x = 1,650.10 × 320.09
  4. Step 4: Simplify right side
    1,100.35x = 528,180.51
  5. Step 5: Solve for x
    x = 528,180.51/1,100.35
  6. Step 6: Final answer
    x = 480.01

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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.