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Finding the Fourth Proportional to 546.59, 754.59 and 378.78

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Solution

The fourth proportional to 546.59, 754.59 and 378.78 is: 522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.59 : 754.59 = 378.78 : x
  2. Step 2: Convert to fraction form
    546.59/754.59 = 378.78/x
  3. Step 3: Cross multiply
    546.59x = 754.59 × 378.78
  4. Step 4: Simplify right side
    546.59x = 285,825.02
  5. Step 5: Solve for x
    x = 285,825.02/546.59
  6. Step 6: Final answer
    x = 522.93

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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.