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Finding the Fourth Proportional to 546.82, 754.58 and 304.24

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Solution

The fourth proportional to 546.82, 754.58 and 304.24 is: 419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.82 : 754.58 = 304.24 : x
  2. Step 2: Convert to fraction form
    546.82/754.58 = 304.24/x
  3. Step 3: Cross multiply
    546.82x = 754.58 × 304.24
  4. Step 4: Simplify right side
    546.82x = 229,572.19
  5. Step 5: Solve for x
    x = 229,572.19/546.82
  6. Step 6: Final answer
    x = 419.83

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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.