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Finding the Fourth Proportional to 676.70, 933.77 and 499.75

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Solution

The fourth proportional to 676.70, 933.77 and 499.75 is: 689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.70 : 933.77 = 499.75 : x
  2. Step 2: Convert to fraction form
    676.70/933.77 = 499.75/x
  3. Step 3: Cross multiply
    676.70x = 933.77 × 499.75
  4. Step 4: Simplify right side
    676.70x = 466,651.56
  5. Step 5: Solve for x
    x = 466,651.56/676.70
  6. Step 6: Final answer
    x = 689.60

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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.