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Finding the Fourth Proportional to 1,930.69, 2,896.01 and 469.85

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Solution

The fourth proportional to 1,930.69, 2,896.01 and 469.85 is: 704.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.69 : 2,896.01 = 469.85 : x
  2. Step 2: Convert to fraction form
    1,930.69/2,896.01 = 469.85/x
  3. Step 3: Cross multiply
    1,930.69x = 2,896.01 × 469.85
  4. Step 4: Simplify right side
    1,930.69x = 1,360,675.82
  5. Step 5: Solve for x
    x = 1,360,675.82/1,930.69
  6. Step 6: Final answer
    x = 704.76

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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.