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Finding the Fourth Proportional to 546.70, 754.42 and 298.02

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Solution

The fourth proportional to 546.70, 754.42 and 298.02 is: 411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.70 : 754.42 = 298.02 : x
  2. Step 2: Convert to fraction form
    546.70/754.42 = 298.02/x
  3. Step 3: Cross multiply
    546.70x = 754.42 × 298.02
  4. Step 4: Simplify right side
    546.70x = 224,832.25
  5. Step 5: Solve for x
    x = 224,832.25/546.70
  6. Step 6: Final answer
    x = 411.25

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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.