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Finding the Fourth Proportional to 1,049.69, 1,448.72 and 787.25

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Solution

The fourth proportional to 1,049.69, 1,448.72 and 787.25 is: 1,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.69 : 1,448.72 = 787.25 : x
  2. Step 2: Convert to fraction form
    1,049.69/1,448.72 = 787.25/x
  3. Step 3: Cross multiply
    1,049.69x = 1,448.72 × 787.25
  4. Step 4: Simplify right side
    1,049.69x = 1,140,507.46
  5. Step 5: Solve for x
    x = 1,140,507.46/1,049.69
  6. Step 6: Final answer
    x = 1,086.52

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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.