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Finding the Fourth Proportional to 1,930.98, 2,896.49 and 470.15

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Solution

The fourth proportional to 1,930.98, 2,896.49 and 470.15 is: 705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.98 : 2,896.49 = 470.15 : x
  2. Step 2: Convert to fraction form
    1,930.98/2,896.49 = 470.15/x
  3. Step 3: Cross multiply
    1,930.98x = 2,896.49 × 470.15
  4. Step 4: Simplify right side
    1,930.98x = 1,361,767.94
  5. Step 5: Solve for x
    x = 1,361,767.94/1,930.98
  6. Step 6: Final answer
    x = 705.22

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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.