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Finding the Fourth Proportional to 782.75, 1,080.18 and 451.16

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Solution

The fourth proportional to 782.75, 1,080.18 and 451.16 is: 622.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.75 : 1,080.18 = 451.16 : x
  2. Step 2: Convert to fraction form
    782.75/1,080.18 = 451.16/x
  3. Step 3: Cross multiply
    782.75x = 1,080.18 × 451.16
  4. Step 4: Simplify right side
    782.75x = 487,332.66
  5. Step 5: Solve for x
    x = 487,332.66/782.75
  6. Step 6: Final answer
    x = 622.59

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