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Finding the Fourth Proportional to 1,898.94, 2,848.07 and 511.96

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Solution

The fourth proportional to 1,898.94, 2,848.07 and 511.96 is: 767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.94 : 2,848.07 = 511.96 : x
  2. Step 2: Convert to fraction form
    1,898.94/2,848.07 = 511.96/x
  3. Step 3: Cross multiply
    1,898.94x = 2,848.07 × 511.96
  4. Step 4: Simplify right side
    1,898.94x = 1,458,097.92
  5. Step 5: Solve for x
    x = 1,458,097.92/1,898.94
  6. Step 6: Final answer
    x = 767.85

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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.