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Finding the Fourth Proportional to 546.24, 822.54 and 402.96

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Solution

The fourth proportional to 546.24, 822.54 and 402.96 is: 606.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.24 : 822.54 = 402.96 : x
  2. Step 2: Convert to fraction form
    546.24/822.54 = 402.96/x
  3. Step 3: Cross multiply
    546.24x = 822.54 × 402.96
  4. Step 4: Simplify right side
    546.24x = 331,450.72
  5. Step 5: Solve for x
    x = 331,450.72/546.24
  6. Step 6: Final answer
    x = 606.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.