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Finding the Fourth Proportional to 546.56, 753.76 and 380.56

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Solution

The fourth proportional to 546.56, 753.76 and 380.56 is: 524.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.56 : 753.76 = 380.56 : x
  2. Step 2: Convert to fraction form
    546.56/753.76 = 380.56/x
  3. Step 3: Cross multiply
    546.56x = 753.76 × 380.56
  4. Step 4: Simplify right side
    546.56x = 286,850.91
  5. Step 5: Solve for x
    x = 286,850.91/546.56
  6. Step 6: Final answer
    x = 524.83

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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.