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Finding the Fourth Proportional to 546.36, 754.02 and 421.44

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Solution

The fourth proportional to 546.36, 754.02 and 421.44 is: 581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.36 : 754.02 = 421.44 : x
  2. Step 2: Convert to fraction form
    546.36/754.02 = 421.44/x
  3. Step 3: Cross multiply
    546.36x = 754.02 × 421.44
  4. Step 4: Simplify right side
    546.36x = 317,774.19
  5. Step 5: Solve for x
    x = 317,774.19/546.36
  6. Step 6: Final answer
    x = 581.62

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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.