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Finding the Fourth Proportional to 2,379.26, 3,568.90 and 647.90

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Solution

The fourth proportional to 2,379.26, 3,568.90 and 647.90 is: 971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.26 : 3,568.90 = 647.90 : x
  2. Step 2: Convert to fraction form
    2,379.26/3,568.90 = 647.90/x
  3. Step 3: Cross multiply
    2,379.26x = 3,568.90 × 647.90
  4. Step 4: Simplify right side
    2,379.26x = 2,312,290.31
  5. Step 5: Solve for x
    x = 2,312,290.31/2,379.26
  6. Step 6: Final answer
    x = 971.85

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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.