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Finding the Fourth Proportional to 756.22, 1,132.38 and 448.29

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Solution

The fourth proportional to 756.22, 1,132.38 and 448.29 is: 671.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.22 : 1,132.38 = 448.29 : x
  2. Step 2: Convert to fraction form
    756.22/1,132.38 = 448.29/x
  3. Step 3: Cross multiply
    756.22x = 1,132.38 × 448.29
  4. Step 4: Simplify right side
    756.22x = 507,626.73
  5. Step 5: Solve for x
    x = 507,626.73/756.22
  6. Step 6: Final answer
    x = 671.27

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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.