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Finding the Fourth Proportional to 817.76, 1,232.62 and 748.51

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Solution

The fourth proportional to 817.76, 1,232.62 and 748.51 is: 1,128.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.76 : 1,232.62 = 748.51 : x
  2. Step 2: Convert to fraction form
    817.76/1,232.62 = 748.51/x
  3. Step 3: Cross multiply
    817.76x = 1,232.62 × 748.51
  4. Step 4: Simplify right side
    817.76x = 922,623.44
  5. Step 5: Solve for x
    x = 922,623.44/817.76
  6. Step 6: Final answer
    x = 1,128.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.