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Finding the Fourth Proportional to 535.58, 804.72 and 513.98

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Solution

The fourth proportional to 535.58, 804.72 and 513.98 is: 772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.58 : 804.72 = 513.98 : x
  2. Step 2: Convert to fraction form
    535.58/804.72 = 513.98/x
  3. Step 3: Cross multiply
    535.58x = 804.72 × 513.98
  4. Step 4: Simplify right side
    535.58x = 413,609.99
  5. Step 5: Solve for x
    x = 413,609.99/535.58
  6. Step 6: Final answer
    x = 772.27

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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.