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Finding the Fourth Proportional to 546.60, 821.11 and 473.70

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Solution

The fourth proportional to 546.60, 821.11 and 473.70 is: 711.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.60 : 821.11 = 473.70 : x
  2. Step 2: Convert to fraction form
    546.60/821.11 = 473.70/x
  3. Step 3: Cross multiply
    546.60x = 821.11 × 473.70
  4. Step 4: Simplify right side
    546.60x = 388,959.30
  5. Step 5: Solve for x
    x = 388,959.30/546.60
  6. Step 6: Final answer
    x = 711.60

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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.