Home / 1,080.25-1,621.14-431.14

Finding the Fourth Proportional to 1,080.25, 1,621.14 and 431.14

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Solution

The fourth proportional to 1,080.25, 1,621.14 and 431.14 is: 647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.25 : 1,621.14 = 431.14 : x
  2. Step 2: Convert to fraction form
    1,080.25/1,621.14 = 431.14/x
  3. Step 3: Cross multiply
    1,080.25x = 1,621.14 × 431.14
  4. Step 4: Simplify right side
    1,080.25x = 698,938.30
  5. Step 5: Solve for x
    x = 698,938.30/1,080.25
  6. Step 6: Final answer
    x = 647.02

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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.