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Finding the Fourth Proportional to 2,301.79, 3,453.20 and 658.30

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Solution

The fourth proportional to 2,301.79, 3,453.20 and 658.30 is: 987.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.79 : 3,453.20 = 658.30 : x
  2. Step 2: Convert to fraction form
    2,301.79/3,453.20 = 658.30/x
  3. Step 3: Cross multiply
    2,301.79x = 3,453.20 × 658.30
  4. Step 4: Simplify right side
    2,301.79x = 2,273,241.56
  5. Step 5: Solve for x
    x = 2,273,241.56/2,301.79
  6. Step 6: Final answer
    x = 987.60

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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.