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Finding the Fourth Proportional to 548.28, 820.92 and 470.88

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Solution

The fourth proportional to 548.28, 820.92 and 470.88 is: 705.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.28 : 820.92 = 470.88 : x
  2. Step 2: Convert to fraction form
    548.28/820.92 = 470.88/x
  3. Step 3: Cross multiply
    548.28x = 820.92 × 470.88
  4. Step 4: Simplify right side
    548.28x = 386,554.81
  5. Step 5: Solve for x
    x = 386,554.81/548.28
  6. Step 6: Final answer
    x = 705.03

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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.