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Finding the Fourth Proportional to 1,081.58, 1,623 and 432.14

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Solution

The fourth proportional to 1,081.58, 1,623 and 432.14 is: 648.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.58 : 1,623 = 432.14 : x
  2. Step 2: Convert to fraction form
    1,081.58/1,623 = 432.14/x
  3. Step 3: Cross multiply
    1,081.58x = 1,623 × 432.14
  4. Step 4: Simplify right side
    1,081.58x = 701,363.22
  5. Step 5: Solve for x
    x = 701,363.22/1,081.58
  6. Step 6: Final answer
    x = 648.46

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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.