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Finding the Fourth Proportional to 852.98, 1,281.60 and 544.97

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Solution

The fourth proportional to 852.98, 1,281.60 and 544.97 is: 818.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.98 : 1,281.60 = 544.97 : x
  2. Step 2: Convert to fraction form
    852.98/1,281.60 = 544.97/x
  3. Step 3: Cross multiply
    852.98x = 1,281.60 × 544.97
  4. Step 4: Simplify right side
    852.98x = 698,433.55
  5. Step 5: Solve for x
    x = 698,433.55/852.98
  6. Step 6: Final answer
    x = 818.82

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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.