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Finding the Fourth Proportional to 553.34, 829.29 and 475.78

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Solution

The fourth proportional to 553.34, 829.29 and 475.78 is: 713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.34 : 829.29 = 475.78 : x
  2. Step 2: Convert to fraction form
    553.34/829.29 = 475.78/x
  3. Step 3: Cross multiply
    553.34x = 829.29 × 475.78
  4. Step 4: Simplify right side
    553.34x = 394,559.60
  5. Step 5: Solve for x
    x = 394,559.60/553.34
  6. Step 6: Final answer
    x = 713.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.