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Finding the Fourth Proportional to 1,300.95, 1,949.12 and 991.88

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Solution

The fourth proportional to 1,300.95, 1,949.12 and 991.88 is: 1,486.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.95 : 1,949.12 = 991.88 : x
  2. Step 2: Convert to fraction form
    1,300.95/1,949.12 = 991.88/x
  3. Step 3: Cross multiply
    1,300.95x = 1,949.12 × 991.88
  4. Step 4: Simplify right side
    1,300.95x = 1,933,278.44
  5. Step 5: Solve for x
    x = 1,933,278.44/1,300.95
  6. Step 6: Final answer
    x = 1,486.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.