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Finding the Fourth Proportional to 1,080.34, 1,620.94 and 431.14

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Solution

The fourth proportional to 1,080.34, 1,620.94 and 431.14 is: 646.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.34 : 1,620.94 = 431.14 : x
  2. Step 2: Convert to fraction form
    1,080.34/1,620.94 = 431.14/x
  3. Step 3: Cross multiply
    1,080.34x = 1,620.94 × 431.14
  4. Step 4: Simplify right side
    1,080.34x = 698,852.07
  5. Step 5: Solve for x
    x = 698,852.07/1,080.34
  6. Step 6: Final answer
    x = 646.88

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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.