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Finding the Fourth Proportional to 689.05, 1,032.36 and 415.27

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Solution

The fourth proportional to 689.05, 1,032.36 and 415.27 is: 622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.05 : 1,032.36 = 415.27 : x
  2. Step 2: Convert to fraction form
    689.05/1,032.36 = 415.27/x
  3. Step 3: Cross multiply
    689.05x = 1,032.36 × 415.27
  4. Step 4: Simplify right side
    689.05x = 428,708.14
  5. Step 5: Solve for x
    x = 428,708.14/689.05
  6. Step 6: Final answer
    x = 622.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.