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Finding the Fourth Proportional to 1,305.73, 1,955.07 and 783.28

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Solution

The fourth proportional to 1,305.73, 1,955.07 and 783.28 is: 1,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.73 : 1,955.07 = 783.28 : x
  2. Step 2: Convert to fraction form
    1,305.73/1,955.07 = 783.28/x
  3. Step 3: Cross multiply
    1,305.73x = 1,955.07 × 783.28
  4. Step 4: Simplify right side
    1,305.73x = 1,531,362.34
  5. Step 5: Solve for x
    x = 1,531,362.34/1,305.73
  6. Step 6: Final answer
    x = 1,172.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.