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Finding the Fourth Proportional to 1,107, 1,661.28 and 423

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Solution

The fourth proportional to 1,107, 1,661.28 and 423 is: 634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107 : 1,661.28 = 423 : x
  2. Step 2: Convert to fraction form
    1,107/1,661.28 = 423/x
  3. Step 3: Cross multiply
    1,107x = 1,661.28 × 423
  4. Step 4: Simplify right side
    1,107x = 702,721.44
  5. Step 5: Solve for x
    x = 702,721.44/1,107
  6. Step 6: Final answer
    x = 634.80

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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.