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Finding the Fourth Proportional to 1,012.80, 1,519.20 and 891.30

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Solution

The fourth proportional to 1,012.80, 1,519.20 and 891.30 is: 1,336.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.80 : 1,519.20 = 891.30 : x
  2. Step 2: Convert to fraction form
    1,012.80/1,519.20 = 891.30/x
  3. Step 3: Cross multiply
    1,012.80x = 1,519.20 × 891.30
  4. Step 4: Simplify right side
    1,012.80x = 1,354,062.96
  5. Step 5: Solve for x
    x = 1,354,062.96/1,012.80
  6. Step 6: Final answer
    x = 1,336.95

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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.