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Finding the Fourth Proportional to 500.45, 746.82 and 427.28

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Solution

The fourth proportional to 500.45, 746.82 and 427.28 is: 637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.45 : 746.82 = 427.28 : x
  2. Step 2: Convert to fraction form
    500.45/746.82 = 427.28/x
  3. Step 3: Cross multiply
    500.45x = 746.82 × 427.28
  4. Step 4: Simplify right side
    500.45x = 319,097.52
  5. Step 5: Solve for x
    x = 319,097.52/500.45
  6. Step 6: Final answer
    x = 637.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.