Home / 1,100.04-1,649.73-320.10

Finding the Fourth Proportional to 1,100.04, 1,649.73 and 320.10

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Solution

The fourth proportional to 1,100.04, 1,649.73 and 320.10 is: 480.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.04 : 1,649.73 = 320.10 : x
  2. Step 2: Convert to fraction form
    1,100.04/1,649.73 = 320.10/x
  3. Step 3: Cross multiply
    1,100.04x = 1,649.73 × 320.10
  4. Step 4: Simplify right side
    1,100.04x = 528,081.52
  5. Step 5: Solve for x
    x = 528,081.52/1,100.04
  6. Step 6: Final answer
    x = 480.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.