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Finding the Fourth Proportional to 553.59, 769.32 and 546.75

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Solution

The fourth proportional to 553.59, 769.32 and 546.75 is: 759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.59 : 769.32 = 546.75 : x
  2. Step 2: Convert to fraction form
    553.59/769.32 = 546.75/x
  3. Step 3: Cross multiply
    553.59x = 769.32 × 546.75
  4. Step 4: Simplify right side
    553.59x = 420,625.71
  5. Step 5: Solve for x
    x = 420,625.71/553.59
  6. Step 6: Final answer
    x = 759.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.