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Finding the Fourth Proportional to 676.27, 933.25 and 377.51

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Solution

The fourth proportional to 676.27, 933.25 and 377.51 is: 520.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.27 : 933.25 = 377.51 : x
  2. Step 2: Convert to fraction form
    676.27/933.25 = 377.51/x
  3. Step 3: Cross multiply
    676.27x = 933.25 × 377.51
  4. Step 4: Simplify right side
    676.27x = 352,311.21
  5. Step 5: Solve for x
    x = 352,311.21/676.27
  6. Step 6: Final answer
    x = 520.96

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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.