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Finding the Fourth Proportional to 674.34, 1,011.73 and 309.12

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Solution

The fourth proportional to 674.34, 1,011.73 and 309.12 is: 463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.34 : 1,011.73 = 309.12 : x
  2. Step 2: Convert to fraction form
    674.34/1,011.73 = 309.12/x
  3. Step 3: Cross multiply
    674.34x = 1,011.73 × 309.12
  4. Step 4: Simplify right side
    674.34x = 312,745.98
  5. Step 5: Solve for x
    x = 312,745.98/674.34
  6. Step 6: Final answer
    x = 463.78

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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.