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Finding the Fourth Proportional to 546.44, 754.12 and 389.12

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Solution

The fourth proportional to 546.44, 754.12 and 389.12 is: 537.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.44 : 754.12 = 389.12 : x
  2. Step 2: Convert to fraction form
    546.44/754.12 = 389.12/x
  3. Step 3: Cross multiply
    546.44x = 754.12 × 389.12
  4. Step 4: Simplify right side
    546.44x = 293,443.17
  5. Step 5: Solve for x
    x = 293,443.17/546.44
  6. Step 6: Final answer
    x = 537.01

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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.