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Finding the Fourth Proportional to 538.86, 804.80 and 535.37

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Solution

The fourth proportional to 538.86, 804.80 and 535.37 is: 799.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.86 : 804.80 = 535.37 : x
  2. Step 2: Convert to fraction form
    538.86/804.80 = 535.37/x
  3. Step 3: Cross multiply
    538.86x = 804.80 × 535.37
  4. Step 4: Simplify right side
    538.86x = 430,865.11
  5. Step 5: Solve for x
    x = 430,865.11/538.86
  6. Step 6: Final answer
    x = 799.59

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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.