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Finding the Fourth Proportional to 1,090.31, 1,636.16 and 396.91

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Solution

The fourth proportional to 1,090.31, 1,636.16 and 396.91 is: 595.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.31 : 1,636.16 = 396.91 : x
  2. Step 2: Convert to fraction form
    1,090.31/1,636.16 = 396.91/x
  3. Step 3: Cross multiply
    1,090.31x = 1,636.16 × 396.91
  4. Step 4: Simplify right side
    1,090.31x = 649,406.00
  5. Step 5: Solve for x
    x = 649,406.00/1,090.31
  6. Step 6: Final answer
    x = 595.62

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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.