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Finding the Fourth Proportional to 1,482.56, 2,045.86 and 819.44

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Solution

The fourth proportional to 1,482.56, 2,045.86 and 819.44 is: 1,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.56 : 2,045.86 = 819.44 : x
  2. Step 2: Convert to fraction form
    1,482.56/2,045.86 = 819.44/x
  3. Step 3: Cross multiply
    1,482.56x = 2,045.86 × 819.44
  4. Step 4: Simplify right side
    1,482.56x = 1,676,447.24
  5. Step 5: Solve for x
    x = 1,676,447.24/1,482.56
  6. Step 6: Final answer
    x = 1,130.78

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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.