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Finding the Fourth Proportional to 500.37, 749.43 and 389.82

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Solution

The fourth proportional to 500.37, 749.43 and 389.82 is: 583.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.37 : 749.43 = 389.82 : x
  2. Step 2: Convert to fraction form
    500.37/749.43 = 389.82/x
  3. Step 3: Cross multiply
    500.37x = 749.43 × 389.82
  4. Step 4: Simplify right side
    500.37x = 292,142.80
  5. Step 5: Solve for x
    x = 292,142.80/500.37
  6. Step 6: Final answer
    x = 583.85

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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.