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Finding the Fourth Proportional to 942.72, 1,297.92 and 809.68

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Solution

The fourth proportional to 942.72, 1,297.92 and 809.68 is: 1,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.72 : 1,297.92 = 809.68 : x
  2. Step 2: Convert to fraction form
    942.72/1,297.92 = 809.68/x
  3. Step 3: Cross multiply
    942.72x = 1,297.92 × 809.68
  4. Step 4: Simplify right side
    942.72x = 1,050,899.87
  5. Step 5: Solve for x
    x = 1,050,899.87/942.72
  6. Step 6: Final answer
    x = 1,114.75

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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.