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Finding the Fourth Proportional to 671.84, 927.28 and 475.36

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Solution

The fourth proportional to 671.84, 927.28 and 475.36 is: 656.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.84 : 927.28 = 475.36 : x
  2. Step 2: Convert to fraction form
    671.84/927.28 = 475.36/x
  3. Step 3: Cross multiply
    671.84x = 927.28 × 475.36
  4. Step 4: Simplify right side
    671.84x = 440,791.82
  5. Step 5: Solve for x
    x = 440,791.82/671.84
  6. Step 6: Final answer
    x = 656.10

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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.