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Finding the Fourth Proportional to 647.44, 969.24 and 418.96

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Solution

The fourth proportional to 647.44, 969.24 and 418.96 is: 627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.44 : 969.24 = 418.96 : x
  2. Step 2: Convert to fraction form
    647.44/969.24 = 418.96/x
  3. Step 3: Cross multiply
    647.44x = 969.24 × 418.96
  4. Step 4: Simplify right side
    647.44x = 406,072.79
  5. Step 5: Solve for x
    x = 406,072.79/647.44
  6. Step 6: Final answer
    x = 627.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.