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Finding the Fourth Proportional to 676.58, 933.19 and 517.43

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Solution

The fourth proportional to 676.58, 933.19 and 517.43 is: 713.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.58 : 933.19 = 517.43 : x
  2. Step 2: Convert to fraction form
    676.58/933.19 = 517.43/x
  3. Step 3: Cross multiply
    676.58x = 933.19 × 517.43
  4. Step 4: Simplify right side
    676.58x = 482,859.59
  5. Step 5: Solve for x
    x = 482,859.59/676.58
  6. Step 6: Final answer
    x = 713.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.