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Finding the Fourth Proportional to 500.42, 749.75 and 427.54

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Solution

The fourth proportional to 500.42, 749.75 and 427.54 is: 640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.42 : 749.75 = 427.54 : x
  2. Step 2: Convert to fraction form
    500.42/749.75 = 427.54/x
  3. Step 3: Cross multiply
    500.42x = 749.75 × 427.54
  4. Step 4: Simplify right side
    500.42x = 320,548.12
  5. Step 5: Solve for x
    x = 320,548.12/500.42
  6. Step 6: Final answer
    x = 640.56

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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.