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Finding the Fourth Proportional to 2,379.92, 3,570.06 and 648.50

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Solution

The fourth proportional to 2,379.92, 3,570.06 and 648.50 is: 972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.92 : 3,570.06 = 648.50 : x
  2. Step 2: Convert to fraction form
    2,379.92/3,570.06 = 648.50/x
  3. Step 3: Cross multiply
    2,379.92x = 3,570.06 × 648.50
  4. Step 4: Simplify right side
    2,379.92x = 2,315,183.91
  5. Step 5: Solve for x
    x = 2,315,183.91/2,379.92
  6. Step 6: Final answer
    x = 972.80

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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.