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Finding the Fourth Proportional to 676.10, 933.11 and 414.14

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Solution

The fourth proportional to 676.10, 933.11 and 414.14 is: 571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.10 : 933.11 = 414.14 : x
  2. Step 2: Convert to fraction form
    676.10/933.11 = 414.14/x
  3. Step 3: Cross multiply
    676.10x = 933.11 × 414.14
  4. Step 4: Simplify right side
    676.10x = 386,431.44
  5. Step 5: Solve for x
    x = 386,431.44/676.10
  6. Step 6: Final answer
    x = 571.56

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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.