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Finding the Fourth Proportional to 513.98, 771.66 and 437.44

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Solution

The fourth proportional to 513.98, 771.66 and 437.44 is: 656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.98 : 771.66 = 437.44 : x
  2. Step 2: Convert to fraction form
    513.98/771.66 = 437.44/x
  3. Step 3: Cross multiply
    513.98x = 771.66 × 437.44
  4. Step 4: Simplify right side
    513.98x = 337,548.90
  5. Step 5: Solve for x
    x = 337,548.90/513.98
  6. Step 6: Final answer
    x = 656.74

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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.