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Finding the Fourth Proportional to 1,222.87, 1,834.39 and 492.45

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Solution

The fourth proportional to 1,222.87, 1,834.39 and 492.45 is: 738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.87 : 1,834.39 = 492.45 : x
  2. Step 2: Convert to fraction form
    1,222.87/1,834.39 = 492.45/x
  3. Step 3: Cross multiply
    1,222.87x = 1,834.39 × 492.45
  4. Step 4: Simplify right side
    1,222.87x = 903,333.72
  5. Step 5: Solve for x
    x = 903,333.72/1,222.87
  6. Step 6: Final answer
    x = 738.70

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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.