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Finding the Fourth Proportional to 820.32, 1,227.60 and 546

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Solution

The fourth proportional to 820.32, 1,227.60 and 546 is: 817.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.32 : 1,227.60 = 546 : x
  2. Step 2: Convert to fraction form
    820.32/1,227.60 = 546/x
  3. Step 3: Cross multiply
    820.32x = 1,227.60 × 546
  4. Step 4: Simplify right side
    820.32x = 670,269.60
  5. Step 5: Solve for x
    x = 670,269.60/820.32
  6. Step 6: Final answer
    x = 817.08

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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.