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Finding the Fourth Proportional to 817.71, 1,129.05 and 523.14

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Solution

The fourth proportional to 817.71, 1,129.05 and 523.14 is: 722.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.71 : 1,129.05 = 523.14 : x
  2. Step 2: Convert to fraction form
    817.71/1,129.05 = 523.14/x
  3. Step 3: Cross multiply
    817.71x = 1,129.05 × 523.14
  4. Step 4: Simplify right side
    817.71x = 590,651.22
  5. Step 5: Solve for x
    x = 590,651.22/817.71
  6. Step 6: Final answer
    x = 722.32

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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.