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Finding the Fourth Proportional to 553.88, 825.68 and 477.20

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Solution

The fourth proportional to 553.88, 825.68 and 477.20 is: 711.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.88 : 825.68 = 477.20 : x
  2. Step 2: Convert to fraction form
    553.88/825.68 = 477.20/x
  3. Step 3: Cross multiply
    553.88x = 825.68 × 477.20
  4. Step 4: Simplify right side
    553.88x = 394,014.50
  5. Step 5: Solve for x
    x = 394,014.50/553.88
  6. Step 6: Final answer
    x = 711.37

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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.