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Finding the Fourth Proportional to 1,090.98, 1,636.87 and 397.69

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Solution

The fourth proportional to 1,090.98, 1,636.87 and 397.69 is: 596.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.98 : 1,636.87 = 397.69 : x
  2. Step 2: Convert to fraction form
    1,090.98/1,636.87 = 397.69/x
  3. Step 3: Cross multiply
    1,090.98x = 1,636.87 × 397.69
  4. Step 4: Simplify right side
    1,090.98x = 650,966.83
  5. Step 5: Solve for x
    x = 650,966.83/1,090.98
  6. Step 6: Final answer
    x = 596.68

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Double scale
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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.