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Finding the Fourth Proportional to 817.72, 1,129.22 and 523.68

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Solution

The fourth proportional to 817.72, 1,129.22 and 523.68 is: 723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.72 : 1,129.22 = 523.68 : x
  2. Step 2: Convert to fraction form
    817.72/1,129.22 = 523.68/x
  3. Step 3: Cross multiply
    817.72x = 1,129.22 × 523.68
  4. Step 4: Simplify right side
    817.72x = 591,349.93
  5. Step 5: Solve for x
    x = 591,349.93/817.72
  6. Step 6: Final answer
    x = 723.17

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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.