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Finding the Fourth Proportional to 546.11, 752.73 and 380.03

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Solution

The fourth proportional to 546.11, 752.73 and 380.03 is: 523.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.11 : 752.73 = 380.03 : x
  2. Step 2: Convert to fraction form
    546.11/752.73 = 380.03/x
  3. Step 3: Cross multiply
    546.11x = 752.73 × 380.03
  4. Step 4: Simplify right side
    546.11x = 286,056.22
  5. Step 5: Solve for x
    x = 286,056.22/546.11
  6. Step 6: Final answer
    x = 523.81

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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.