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Finding the Fourth Proportional to 1,080.21, 1,618.94 and 463.18

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Solution

The fourth proportional to 1,080.21, 1,618.94 and 463.18 is: 694.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.21 : 1,618.94 = 463.18 : x
  2. Step 2: Convert to fraction form
    1,080.21/1,618.94 = 463.18/x
  3. Step 3: Cross multiply
    1,080.21x = 1,618.94 × 463.18
  4. Step 4: Simplify right side
    1,080.21x = 749,860.63
  5. Step 5: Solve for x
    x = 749,860.63/1,080.21
  6. Step 6: Final answer
    x = 694.18

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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.