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Finding the Fourth Proportional to 673.43, 1,009.80 and 344.01

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Solution

The fourth proportional to 673.43, 1,009.80 and 344.01 is: 515.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.43 : 1,009.80 = 344.01 : x
  2. Step 2: Convert to fraction form
    673.43/1,009.80 = 344.01/x
  3. Step 3: Cross multiply
    673.43x = 1,009.80 × 344.01
  4. Step 4: Simplify right side
    673.43x = 347,381.30
  5. Step 5: Solve for x
    x = 347,381.30/673.43
  6. Step 6: Final answer
    x = 515.84

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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.