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Finding the Fourth Proportional to 1,410.30, 1,946.22 and 780.80

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Solution

The fourth proportional to 1,410.30, 1,946.22 and 780.80 is: 1,077.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.30 : 1,946.22 = 780.80 : x
  2. Step 2: Convert to fraction form
    1,410.30/1,946.22 = 780.80/x
  3. Step 3: Cross multiply
    1,410.30x = 1,946.22 × 780.80
  4. Step 4: Simplify right side
    1,410.30x = 1,519,608.58
  5. Step 5: Solve for x
    x = 1,519,608.58/1,410.30
  6. Step 6: Final answer
    x = 1,077.51

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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.