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Finding the Fourth Proportional to 2,379.07, 3,568.70 and 647.69

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Solution

The fourth proportional to 2,379.07, 3,568.70 and 647.69 is: 971.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.07 : 3,568.70 = 647.69 : x
  2. Step 2: Convert to fraction form
    2,379.07/3,568.70 = 647.69/x
  3. Step 3: Cross multiply
    2,379.07x = 3,568.70 × 647.69
  4. Step 4: Simplify right side
    2,379.07x = 2,311,408.06
  5. Step 5: Solve for x
    x = 2,311,408.06/2,379.07
  6. Step 6: Final answer
    x = 971.56

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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.