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Finding the Fourth Proportional to 1,090.83, 1,635.76 and 397.27

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Solution

The fourth proportional to 1,090.83, 1,635.76 and 397.27 is: 595.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.83 : 1,635.76 = 397.27 : x
  2. Step 2: Convert to fraction form
    1,090.83/1,635.76 = 397.27/x
  3. Step 3: Cross multiply
    1,090.83x = 1,635.76 × 397.27
  4. Step 4: Simplify right side
    1,090.83x = 649,838.38
  5. Step 5: Solve for x
    x = 649,838.38/1,090.83
  6. Step 6: Final answer
    x = 595.73

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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.