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Finding the Fourth Proportional to 437.73, 647.43 and 437.73

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Solution

The fourth proportional to 437.73, 647.43 and 437.73 is: 647.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.73 : 647.43 = 437.73 : x
  2. Step 2: Convert to fraction form
    437.73/647.43 = 437.73/x
  3. Step 3: Cross multiply
    437.73x = 647.43 × 437.73
  4. Step 4: Simplify right side
    437.73x = 283,399.53
  5. Step 5: Solve for x
    x = 283,399.53/437.73
  6. Step 6: Final answer
    x = 647.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.