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Finding the Fourth Proportional to 525.25, 724.83 and 378.03

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Solution

The fourth proportional to 525.25, 724.83 and 378.03 is: 521.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.25 : 724.83 = 378.03 : x
  2. Step 2: Convert to fraction form
    525.25/724.83 = 378.03/x
  3. Step 3: Cross multiply
    525.25x = 724.83 × 378.03
  4. Step 4: Simplify right side
    525.25x = 274,007.48
  5. Step 5: Solve for x
    x = 274,007.48/525.25
  6. Step 6: Final answer
    x = 521.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.