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Finding the Fourth Proportional to 2,302.36, 3,453.72 and 658.90

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Solution

The fourth proportional to 2,302.36, 3,453.72 and 658.90 is: 988.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.36 : 3,453.72 = 658.90 : x
  2. Step 2: Convert to fraction form
    2,302.36/3,453.72 = 658.90/x
  3. Step 3: Cross multiply
    2,302.36x = 3,453.72 × 658.90
  4. Step 4: Simplify right side
    2,302.36x = 2,275,656.11
  5. Step 5: Solve for x
    x = 2,275,656.11/2,302.36
  6. Step 6: Final answer
    x = 988.40

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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.