Home / 1,410.41-1,946.25-780.95

Finding the Fourth Proportional to 1,410.41, 1,946.25 and 780.95

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Solution

The fourth proportional to 1,410.41, 1,946.25 and 780.95 is: 1,077.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.41 : 1,946.25 = 780.95 : x
  2. Step 2: Convert to fraction form
    1,410.41/1,946.25 = 780.95/x
  3. Step 3: Cross multiply
    1,410.41x = 1,946.25 × 780.95
  4. Step 4: Simplify right side
    1,410.41x = 1,519,914.21
  5. Step 5: Solve for x
    x = 1,519,914.21/1,410.41
  6. Step 6: Final answer
    x = 1,077.64

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1.5x scale

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.