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Finding the Fourth Proportional to 546.95, 753.46 and 406.82

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Solution

The fourth proportional to 546.95, 753.46 and 406.82 is: 560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.95 : 753.46 = 406.82 : x
  2. Step 2: Convert to fraction form
    546.95/753.46 = 406.82/x
  3. Step 3: Cross multiply
    546.95x = 753.46 × 406.82
  4. Step 4: Simplify right side
    546.95x = 306,522.60
  5. Step 5: Solve for x
    x = 306,522.60/546.95
  6. Step 6: Final answer
    x = 560.42

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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.