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Finding the Fourth Proportional to 782.83, 1,080.25 and 428.73

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Solution

The fourth proportional to 782.83, 1,080.25 and 428.73 is: 591.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.83 : 1,080.25 = 428.73 : x
  2. Step 2: Convert to fraction form
    782.83/1,080.25 = 428.73/x
  3. Step 3: Cross multiply
    782.83x = 1,080.25 × 428.73
  4. Step 4: Simplify right side
    782.83x = 463,135.58
  5. Step 5: Solve for x
    x = 463,135.58/782.83
  6. Step 6: Final answer
    x = 591.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.