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Finding the Fourth Proportional to 787.25, 1,185.48 and 583.25

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Solution

The fourth proportional to 787.25, 1,185.48 and 583.25 is: 878.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.25 : 1,185.48 = 583.25 : x
  2. Step 2: Convert to fraction form
    787.25/1,185.48 = 583.25/x
  3. Step 3: Cross multiply
    787.25x = 1,185.48 × 583.25
  4. Step 4: Simplify right side
    787.25x = 691,425.28
  5. Step 5: Solve for x
    x = 691,425.28/787.25
  6. Step 6: Final answer
    x = 878.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.