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Finding the Fourth Proportional to 433.82, 597.85 and 340.88

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Solution

The fourth proportional to 433.82, 597.85 and 340.88 is: 469.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.82 : 597.85 = 340.88 : x
  2. Step 2: Convert to fraction form
    433.82/597.85 = 340.88/x
  3. Step 3: Cross multiply
    433.82x = 597.85 × 340.88
  4. Step 4: Simplify right side
    433.82x = 203,791.27
  5. Step 5: Solve for x
    x = 203,791.27/433.82
  6. Step 6: Final answer
    x = 469.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.