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Finding the Fourth Proportional to 1,482.91, 2,046.57 and 819.92

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Solution

The fourth proportional to 1,482.91, 2,046.57 and 819.92 is: 1,131.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.91 : 2,046.57 = 819.92 : x
  2. Step 2: Convert to fraction form
    1,482.91/2,046.57 = 819.92/x
  3. Step 3: Cross multiply
    1,482.91x = 2,046.57 × 819.92
  4. Step 4: Simplify right side
    1,482.91x = 1,678,025.72
  5. Step 5: Solve for x
    x = 1,678,025.72/1,482.91
  6. Step 6: Final answer
    x = 1,131.58

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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.