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Finding the Fourth Proportional to 553.64, 767.18 and 546.68

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Solution

The fourth proportional to 553.64, 767.18 and 546.68 is: 757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.64 : 767.18 = 546.68 : x
  2. Step 2: Convert to fraction form
    553.64/767.18 = 546.68/x
  3. Step 3: Cross multiply
    553.64x = 767.18 × 546.68
  4. Step 4: Simplify right side
    553.64x = 419,401.96
  5. Step 5: Solve for x
    x = 419,401.96/553.64
  6. Step 6: Final answer
    x = 757.54

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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.