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Finding the Fourth Proportional to 671.82, 926.14 and 472.04

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Solution

The fourth proportional to 671.82, 926.14 and 472.04 is: 650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.82 : 926.14 = 472.04 : x
  2. Step 2: Convert to fraction form
    671.82/926.14 = 472.04/x
  3. Step 3: Cross multiply
    671.82x = 926.14 × 472.04
  4. Step 4: Simplify right side
    671.82x = 437,172.77
  5. Step 5: Solve for x
    x = 437,172.77/671.82
  6. Step 6: Final answer
    x = 650.73

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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.