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Finding the Fourth Proportional to 676.62, 933.72 and 411.15

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Solution

The fourth proportional to 676.62, 933.72 and 411.15 is: 567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.62 : 933.72 = 411.15 : x
  2. Step 2: Convert to fraction form
    676.62/933.72 = 411.15/x
  3. Step 3: Cross multiply
    676.62x = 933.72 × 411.15
  4. Step 4: Simplify right side
    676.62x = 383,898.98
  5. Step 5: Solve for x
    x = 383,898.98/676.62
  6. Step 6: Final answer
    x = 567.38

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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.