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Finding the Fourth Proportional to 553.97, 769.83 and 547.08

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Solution

The fourth proportional to 553.97, 769.83 and 547.08 is: 760.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.97 : 769.83 = 547.08 : x
  2. Step 2: Convert to fraction form
    553.97/769.83 = 547.08/x
  3. Step 3: Cross multiply
    553.97x = 769.83 × 547.08
  4. Step 4: Simplify right side
    553.97x = 421,158.60
  5. Step 5: Solve for x
    x = 421,158.60/553.97
  6. Step 6: Final answer
    x = 760.26

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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.