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Finding the Fourth Proportional to 1,310.95, 1,811.09 and 978.80

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Solution

The fourth proportional to 1,310.95, 1,811.09 and 978.80 is: 1,352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.95 : 1,811.09 = 978.80 : x
  2. Step 2: Convert to fraction form
    1,310.95/1,811.09 = 978.80/x
  3. Step 3: Cross multiply
    1,310.95x = 1,811.09 × 978.80
  4. Step 4: Simplify right side
    1,310.95x = 1,772,685.84
  5. Step 5: Solve for x
    x = 1,772,685.84/1,310.95
  6. Step 6: Final answer
    x = 1,352.22

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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.