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Finding the Fourth Proportional to 2,408.88, 3,613.11 and 653.82

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Solution

The fourth proportional to 2,408.88, 3,613.11 and 653.82 is: 980.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.88 : 3,613.11 = 653.82 : x
  2. Step 2: Convert to fraction form
    2,408.88/3,613.11 = 653.82/x
  3. Step 3: Cross multiply
    2,408.88x = 3,613.11 × 653.82
  4. Step 4: Simplify right side
    2,408.88x = 2,362,323.58
  5. Step 5: Solve for x
    x = 2,362,323.58/2,408.88
  6. Step 6: Final answer
    x = 980.67

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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.