Home / 1,410.41-1,946.47-780.97

Finding the Fourth Proportional to 1,410.41, 1,946.47 and 780.97

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Solution

The fourth proportional to 1,410.41, 1,946.47 and 780.97 is: 1,077.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.41 : 1,946.47 = 780.97 : x
  2. Step 2: Convert to fraction form
    1,410.41/1,946.47 = 780.97/x
  3. Step 3: Cross multiply
    1,410.41x = 1,946.47 × 780.97
  4. Step 4: Simplify right side
    1,410.41x = 1,520,121.04
  5. Step 5: Solve for x
    x = 1,520,121.04/1,410.41
  6. Step 6: Final answer
    x = 1,077.79

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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.