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Finding the Fourth Proportional to 744.59, 1,116.43 and 333.65

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Solution

The fourth proportional to 744.59, 1,116.43 and 333.65 is: 500.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.59 : 1,116.43 = 333.65 : x
  2. Step 2: Convert to fraction form
    744.59/1,116.43 = 333.65/x
  3. Step 3: Cross multiply
    744.59x = 1,116.43 × 333.65
  4. Step 4: Simplify right side
    744.59x = 372,496.87
  5. Step 5: Solve for x
    x = 372,496.87/744.59
  6. Step 6: Final answer
    x = 500.27

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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.