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Finding the Fourth Proportional to 782.89, 1,080.05 and 451.25

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Solution

The fourth proportional to 782.89, 1,080.05 and 451.25 is: 622.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.89 : 1,080.05 = 451.25 : x
  2. Step 2: Convert to fraction form
    782.89/1,080.05 = 451.25/x
  3. Step 3: Cross multiply
    782.89x = 1,080.05 × 451.25
  4. Step 4: Simplify right side
    782.89x = 487,367.16
  5. Step 5: Solve for x
    x = 487,367.16/782.89
  6. Step 6: Final answer
    x = 622.53

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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.