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Finding the Fourth Proportional to 911.98, 1,368.60 and 546.76

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Solution

The fourth proportional to 911.98, 1,368.60 and 546.76 is: 820.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.98 : 1,368.60 = 546.76 : x
  2. Step 2: Convert to fraction form
    911.98/1,368.60 = 546.76/x
  3. Step 3: Cross multiply
    911.98x = 1,368.60 × 546.76
  4. Step 4: Simplify right side
    911.98x = 748,295.74
  5. Step 5: Solve for x
    x = 748,295.74/911.98
  6. Step 6: Final answer
    x = 820.52

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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.