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Finding the Fourth Proportional to 2,230.41, 3,346.02 and 769.17

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Solution

The fourth proportional to 2,230.41, 3,346.02 and 769.17 is: 1,153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.41 : 3,346.02 = 769.17 : x
  2. Step 2: Convert to fraction form
    2,230.41/3,346.02 = 769.17/x
  3. Step 3: Cross multiply
    2,230.41x = 3,346.02 × 769.17
  4. Step 4: Simplify right side
    2,230.41x = 2,573,658.20
  5. Step 5: Solve for x
    x = 2,573,658.20/2,230.41
  6. Step 6: Final answer
    x = 1,153.89

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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.