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Finding the Fourth Proportional to 2,302.23, 3,453.27 and 658.78

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Solution

The fourth proportional to 2,302.23, 3,453.27 and 658.78 is: 988.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.23 : 3,453.27 = 658.78 : x
  2. Step 2: Convert to fraction form
    2,302.23/3,453.27 = 658.78/x
  3. Step 3: Cross multiply
    2,302.23x = 3,453.27 × 658.78
  4. Step 4: Simplify right side
    2,302.23x = 2,274,927.94
  5. Step 5: Solve for x
    x = 2,274,927.94/2,302.23
  6. Step 6: Final answer
    x = 988.14

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1.5x scale

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.