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Finding the Fourth Proportional to 553.62, 767.26 and 543.26

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Solution

The fourth proportional to 553.62, 767.26 and 543.26 is: 752.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.62 : 767.26 = 543.26 : x
  2. Step 2: Convert to fraction form
    553.62/767.26 = 543.26/x
  3. Step 3: Cross multiply
    553.62x = 767.26 × 543.26
  4. Step 4: Simplify right side
    553.62x = 416,816.89
  5. Step 5: Solve for x
    x = 416,816.89/553.62
  6. Step 6: Final answer
    x = 752.90

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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.