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Finding the Fourth Proportional to 673.19, 1,009.62 and 343.91

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Solution

The fourth proportional to 673.19, 1,009.62 and 343.91 is: 515.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.19 : 1,009.62 = 343.91 : x
  2. Step 2: Convert to fraction form
    673.19/1,009.62 = 343.91/x
  3. Step 3: Cross multiply
    673.19x = 1,009.62 × 343.91
  4. Step 4: Simplify right side
    673.19x = 347,213.37
  5. Step 5: Solve for x
    x = 347,213.37/673.19
  6. Step 6: Final answer
    x = 515.78

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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.