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Finding the Fourth Proportional to 647.03, 892.31 and 422.76

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Solution

The fourth proportional to 647.03, 892.31 and 422.76 is: 583.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.03 : 892.31 = 422.76 : x
  2. Step 2: Convert to fraction form
    647.03/892.31 = 422.76/x
  3. Step 3: Cross multiply
    647.03x = 892.31 × 422.76
  4. Step 4: Simplify right side
    647.03x = 377,230.38
  5. Step 5: Solve for x
    x = 377,230.38/647.03
  6. Step 6: Final answer
    x = 583.02

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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.