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Finding the Fourth Proportional to 553.13, 825.85 and 547.57

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Solution

The fourth proportional to 553.13, 825.85 and 547.57 is: 817.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.13 : 825.85 = 547.57 : x
  2. Step 2: Convert to fraction form
    553.13/825.85 = 547.57/x
  3. Step 3: Cross multiply
    553.13x = 825.85 × 547.57
  4. Step 4: Simplify right side
    553.13x = 452,211.89
  5. Step 5: Solve for x
    x = 452,211.89/553.13
  6. Step 6: Final answer
    x = 817.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.