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Finding the Fourth Proportional to 537.11, 804.42 and 421.28

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Solution

The fourth proportional to 537.11, 804.42 and 421.28 is: 630.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.11 : 804.42 = 421.28 : x
  2. Step 2: Convert to fraction form
    537.11/804.42 = 421.28/x
  3. Step 3: Cross multiply
    537.11x = 804.42 × 421.28
  4. Step 4: Simplify right side
    537.11x = 338,886.06
  5. Step 5: Solve for x
    x = 338,886.06/537.11
  6. Step 6: Final answer
    x = 630.94

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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.