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Finding the Fourth Proportional to 789.29, 1,089.68 and 523.81

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Solution

The fourth proportional to 789.29, 1,089.68 and 523.81 is: 723.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.29 : 1,089.68 = 523.81 : x
  2. Step 2: Convert to fraction form
    789.29/1,089.68 = 523.81/x
  3. Step 3: Cross multiply
    789.29x = 1,089.68 × 523.81
  4. Step 4: Simplify right side
    789.29x = 570,785.28
  5. Step 5: Solve for x
    x = 570,785.28/789.29
  6. Step 6: Final answer
    x = 723.16

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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.