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Finding the Fourth Proportional to 673.81, 1,011.26 and 349.27

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Solution

The fourth proportional to 673.81, 1,011.26 and 349.27 is: 524.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.81 : 1,011.26 = 349.27 : x
  2. Step 2: Convert to fraction form
    673.81/1,011.26 = 349.27/x
  3. Step 3: Cross multiply
    673.81x = 1,011.26 × 349.27
  4. Step 4: Simplify right side
    673.81x = 353,201.03
  5. Step 5: Solve for x
    x = 353,201.03/673.81
  6. Step 6: Final answer
    x = 524.18

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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.