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Finding the Fourth Proportional to 1,080.84, 1,621.08 and 431.58

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Solution

The fourth proportional to 1,080.84, 1,621.08 and 431.58 is: 647.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.84 : 1,621.08 = 431.58 : x
  2. Step 2: Convert to fraction form
    1,080.84/1,621.08 = 431.58/x
  3. Step 3: Cross multiply
    1,080.84x = 1,621.08 × 431.58
  4. Step 4: Simplify right side
    1,080.84x = 699,625.71
  5. Step 5: Solve for x
    x = 699,625.71/1,080.84
  6. Step 6: Final answer
    x = 647.30

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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.