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Finding the Fourth Proportional to 676.64, 933.81 and 414.62

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Solution

The fourth proportional to 676.64, 933.81 and 414.62 is: 572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.64 : 933.81 = 414.62 : x
  2. Step 2: Convert to fraction form
    676.64/933.81 = 414.62/x
  3. Step 3: Cross multiply
    676.64x = 933.81 × 414.62
  4. Step 4: Simplify right side
    676.64x = 387,176.30
  5. Step 5: Solve for x
    x = 387,176.30/676.64
  6. Step 6: Final answer
    x = 572.20

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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.