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Finding the Fourth Proportional to 517.23, 771.55 and 485.80

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Solution

The fourth proportional to 517.23, 771.55 and 485.80 is: 724.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.23 : 771.55 = 485.80 : x
  2. Step 2: Convert to fraction form
    517.23/771.55 = 485.80/x
  3. Step 3: Cross multiply
    517.23x = 771.55 × 485.80
  4. Step 4: Simplify right side
    517.23x = 374,815.85
  5. Step 5: Solve for x
    x = 374,815.85/517.23
  6. Step 6: Final answer
    x = 724.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.