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Finding the Fourth Proportional to 546.80, 820.50 and 258.23

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Solution

The fourth proportional to 546.80, 820.50 and 258.23 is: 387.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.80 : 820.50 = 258.23 : x
  2. Step 2: Convert to fraction form
    546.80/820.50 = 258.23/x
  3. Step 3: Cross multiply
    546.80x = 820.50 × 258.23
  4. Step 4: Simplify right side
    546.80x = 211,877.72
  5. Step 5: Solve for x
    x = 211,877.72/546.80
  6. Step 6: Final answer
    x = 387.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.