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Finding the Fourth Proportional to 546.66, 753.54 and 371.70

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Solution

The fourth proportional to 546.66, 753.54 and 371.70 is: 512.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.66 : 753.54 = 371.70 : x
  2. Step 2: Convert to fraction form
    546.66/753.54 = 371.70/x
  3. Step 3: Cross multiply
    546.66x = 753.54 × 371.70
  4. Step 4: Simplify right side
    546.66x = 280,090.82
  5. Step 5: Solve for x
    x = 280,090.82/546.66
  6. Step 6: Final answer
    x = 512.37

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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.