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Finding the Fourth Proportional to 546.78, 754.54 and 298.11

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Solution

The fourth proportional to 546.78, 754.54 and 298.11 is: 411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.78 : 754.54 = 298.11 : x
  2. Step 2: Convert to fraction form
    546.78/754.54 = 298.11/x
  3. Step 3: Cross multiply
    546.78x = 754.54 × 298.11
  4. Step 4: Simplify right side
    546.78x = 224,935.92
  5. Step 5: Solve for x
    x = 224,935.92/546.78
  6. Step 6: Final answer
    x = 411.38

Related Problems

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1.5x scale

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.