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Finding the Fourth Proportional to 546.89, 754.62 and 313.97

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Solution

The fourth proportional to 546.89, 754.62 and 313.97 is: 433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.89 : 754.62 = 313.97 : x
  2. Step 2: Convert to fraction form
    546.89/754.62 = 313.97/x
  3. Step 3: Cross multiply
    546.89x = 754.62 × 313.97
  4. Step 4: Simplify right side
    546.89x = 236,928.04
  5. Step 5: Solve for x
    x = 236,928.04/546.89
  6. Step 6: Final answer
    x = 433.23

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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.