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Finding the Fourth Proportional to 911.59, 1,365.91 and 546.20

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Solution

The fourth proportional to 911.59, 1,365.91 and 546.20 is: 818.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.59 : 1,365.91 = 546.20 : x
  2. Step 2: Convert to fraction form
    911.59/1,365.91 = 546.20/x
  3. Step 3: Cross multiply
    911.59x = 1,365.91 × 546.20
  4. Step 4: Simplify right side
    911.59x = 746,060.04
  5. Step 5: Solve for x
    x = 746,060.04/911.59
  6. Step 6: Final answer
    x = 818.42

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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.