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Finding the Fourth Proportional to 1,409.78, 1,945.40 and 780.14

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Solution

The fourth proportional to 1,409.78, 1,945.40 and 780.14 is: 1,076.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.78 : 1,945.40 = 780.14 : x
  2. Step 2: Convert to fraction form
    1,409.78/1,945.40 = 780.14/x
  3. Step 3: Cross multiply
    1,409.78x = 1,945.40 × 780.14
  4. Step 4: Simplify right side
    1,409.78x = 1,517,684.36
  5. Step 5: Solve for x
    x = 1,517,684.36/1,409.78
  6. Step 6: Final answer
    x = 1,076.54

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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.