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Finding the Fourth Proportional to 534.37, 804.39 and 381.35

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Solution

The fourth proportional to 534.37, 804.39 and 381.35 is: 574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.37 : 804.39 = 381.35 : x
  2. Step 2: Convert to fraction form
    534.37/804.39 = 381.35/x
  3. Step 3: Cross multiply
    534.37x = 804.39 × 381.35
  4. Step 4: Simplify right side
    534.37x = 306,752.22
  5. Step 5: Solve for x
    x = 306,752.22/534.37
  6. Step 6: Final answer
    x = 574.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.