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Finding the Fourth Proportional to 512.56, 770.10 and 497.44

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Solution

The fourth proportional to 512.56, 770.10 and 497.44 is: 747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.56 : 770.10 = 497.44 : x
  2. Step 2: Convert to fraction form
    512.56/770.10 = 497.44/x
  3. Step 3: Cross multiply
    512.56x = 770.10 × 497.44
  4. Step 4: Simplify right side
    512.56x = 383,078.54
  5. Step 5: Solve for x
    x = 383,078.54/512.56
  6. Step 6: Final answer
    x = 747.38

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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.