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Finding the Fourth Proportional to 535.80, 804.51 and 342.03

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Solution

The fourth proportional to 535.80, 804.51 and 342.03 is: 513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.80 : 804.51 = 342.03 : x
  2. Step 2: Convert to fraction form
    535.80/804.51 = 342.03/x
  3. Step 3: Cross multiply
    535.80x = 804.51 × 342.03
  4. Step 4: Simplify right side
    535.80x = 275,166.56
  5. Step 5: Solve for x
    x = 275,166.56/535.80
  6. Step 6: Final answer
    x = 513.56

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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.