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Finding the Fourth Proportional to 546.90, 755.08 and 476.96

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Solution

The fourth proportional to 546.90, 755.08 and 476.96 is: 658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.90 : 755.08 = 476.96 : x
  2. Step 2: Convert to fraction form
    546.90/755.08 = 476.96/x
  3. Step 3: Cross multiply
    546.90x = 755.08 × 476.96
  4. Step 4: Simplify right side
    546.90x = 360,142.96
  5. Step 5: Solve for x
    x = 360,142.96/546.90
  6. Step 6: Final answer
    x = 658.52

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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.