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Finding the Fourth Proportional to 546.34, 753.86 and 359.90

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Solution

The fourth proportional to 546.34, 753.86 and 359.90 is: 496.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.34 : 753.86 = 359.90 : x
  2. Step 2: Convert to fraction form
    546.34/753.86 = 359.90/x
  3. Step 3: Cross multiply
    546.34x = 753.86 × 359.90
  4. Step 4: Simplify right side
    546.34x = 271,314.30
  5. Step 5: Solve for x
    x = 271,314.30/546.34
  6. Step 6: Final answer
    x = 496.61

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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.