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Finding the Fourth Proportional to 517.02, 770.55 and 512.73

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Solution

The fourth proportional to 517.02, 770.55 and 512.73 is: 764.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.02 : 770.55 = 512.73 : x
  2. Step 2: Convert to fraction form
    517.02/770.55 = 512.73/x
  3. Step 3: Cross multiply
    517.02x = 770.55 × 512.73
  4. Step 4: Simplify right side
    517.02x = 395,084.10
  5. Step 5: Solve for x
    x = 395,084.10/517.02
  6. Step 6: Final answer
    x = 764.16

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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.