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Finding the Fourth Proportional to 546.35, 752.78 and 371.39

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Solution

The fourth proportional to 546.35, 752.78 and 371.39 is: 511.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.35 : 752.78 = 371.39 : x
  2. Step 2: Convert to fraction form
    546.35/752.78 = 371.39/x
  3. Step 3: Cross multiply
    546.35x = 752.78 × 371.39
  4. Step 4: Simplify right side
    546.35x = 279,574.96
  5. Step 5: Solve for x
    x = 279,574.96/546.35
  6. Step 6: Final answer
    x = 511.71

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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.