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Finding the Fourth Proportional to 676.70, 933.25 and 455.96

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Solution

The fourth proportional to 676.70, 933.25 and 455.96 is: 628.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.70 : 933.25 = 455.96 : x
  2. Step 2: Convert to fraction form
    676.70/933.25 = 455.96/x
  3. Step 3: Cross multiply
    676.70x = 933.25 × 455.96
  4. Step 4: Simplify right side
    676.70x = 425,518.86
  5. Step 5: Solve for x
    x = 425,518.86/676.70
  6. Step 6: Final answer
    x = 628.81

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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.