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Finding the Fourth Proportional to 674.62, 1,012.89 and 513.34

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Solution

The fourth proportional to 674.62, 1,012.89 and 513.34 is: 770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.62 : 1,012.89 = 513.34 : x
  2. Step 2: Convert to fraction form
    674.62/1,012.89 = 513.34/x
  3. Step 3: Cross multiply
    674.62x = 1,012.89 × 513.34
  4. Step 4: Simplify right side
    674.62x = 519,956.95
  5. Step 5: Solve for x
    x = 519,956.95/674.62
  6. Step 6: Final answer
    x = 770.74

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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.