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Finding the Fourth Proportional to 1,080.03, 1,620.22 and 386.53

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Solution

The fourth proportional to 1,080.03, 1,620.22 and 386.53 is: 579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.03 : 1,620.22 = 386.53 : x
  2. Step 2: Convert to fraction form
    1,080.03/1,620.22 = 386.53/x
  3. Step 3: Cross multiply
    1,080.03x = 1,620.22 × 386.53
  4. Step 4: Simplify right side
    1,080.03x = 626,263.64
  5. Step 5: Solve for x
    x = 626,263.64/1,080.03
  6. Step 6: Final answer
    x = 579.86

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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.