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Finding the Fourth Proportional to 1,090.22, 1,635.78 and 432.29

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Solution

The fourth proportional to 1,090.22, 1,635.78 and 432.29 is: 648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.22 : 1,635.78 = 432.29 : x
  2. Step 2: Convert to fraction form
    1,090.22/1,635.78 = 432.29/x
  3. Step 3: Cross multiply
    1,090.22x = 1,635.78 × 432.29
  4. Step 4: Simplify right side
    1,090.22x = 707,123.16
  5. Step 5: Solve for x
    x = 707,123.16/1,090.22
  6. Step 6: Final answer
    x = 648.61

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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.