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Finding the Fourth Proportional to 754.06, 1,132.98 and 644.98

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Solution

The fourth proportional to 754.06, 1,132.98 and 644.98 is: 969.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.06 : 1,132.98 = 644.98 : x
  2. Step 2: Convert to fraction form
    754.06/1,132.98 = 644.98/x
  3. Step 3: Cross multiply
    754.06x = 1,132.98 × 644.98
  4. Step 4: Simplify right side
    754.06x = 730,749.44
  5. Step 5: Solve for x
    x = 730,749.44/754.06
  6. Step 6: Final answer
    x = 969.09

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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.