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Finding the Fourth Proportional to 647.24, 969.26 and 482.31

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Solution

The fourth proportional to 647.24, 969.26 and 482.31 is: 722.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.24 : 969.26 = 482.31 : x
  2. Step 2: Convert to fraction form
    647.24/969.26 = 482.31/x
  3. Step 3: Cross multiply
    647.24x = 969.26 × 482.31
  4. Step 4: Simplify right side
    647.24x = 467,481.38
  5. Step 5: Solve for x
    x = 467,481.38/647.24
  6. Step 6: Final answer
    x = 722.27

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