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Finding the Fourth Proportional to 1,213.67, 1,816.32 and 744.83

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Solution

The fourth proportional to 1,213.67, 1,816.32 and 744.83 is: 1,114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.67 : 1,816.32 = 744.83 : x
  2. Step 2: Convert to fraction form
    1,213.67/1,816.32 = 744.83/x
  3. Step 3: Cross multiply
    1,213.67x = 1,816.32 × 744.83
  4. Step 4: Simplify right side
    1,213.67x = 1,352,849.63
  5. Step 5: Solve for x
    x = 1,352,849.63/1,213.67
  6. Step 6: Final answer
    x = 1,114.68

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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.