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Finding the Fourth Proportional to 671.62, 927.36 and 435.68

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Solution

The fourth proportional to 671.62, 927.36 and 435.68 is: 601.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.62 : 927.36 = 435.68 : x
  2. Step 2: Convert to fraction form
    671.62/927.36 = 435.68/x
  3. Step 3: Cross multiply
    671.62x = 927.36 × 435.68
  4. Step 4: Simplify right side
    671.62x = 404,032.20
  5. Step 5: Solve for x
    x = 404,032.20/671.62
  6. Step 6: Final answer
    x = 601.58

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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.