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Finding the Fourth Proportional to 734.25, 1,012.67 and 645.54

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Solution

The fourth proportional to 734.25, 1,012.67 and 645.54 is: 890.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.25 : 1,012.67 = 645.54 : x
  2. Step 2: Convert to fraction form
    734.25/1,012.67 = 645.54/x
  3. Step 3: Cross multiply
    734.25x = 1,012.67 × 645.54
  4. Step 4: Simplify right side
    734.25x = 653,722.29
  5. Step 5: Solve for x
    x = 653,722.29/734.25
  6. Step 6: Final answer
    x = 890.33

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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.