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Finding the Fourth Proportional to 1,049.03, 1,448.06 and 787.80

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Solution

The fourth proportional to 1,049.03, 1,448.06 and 787.80 is: 1,087.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.03 : 1,448.06 = 787.80 : x
  2. Step 2: Convert to fraction form
    1,049.03/1,448.06 = 787.80/x
  3. Step 3: Cross multiply
    1,049.03x = 1,448.06 × 787.80
  4. Step 4: Simplify right side
    1,049.03x = 1,140,777.73
  5. Step 5: Solve for x
    x = 1,140,777.73/1,049.03
  6. Step 6: Final answer
    x = 1,087.46

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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.