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Finding the Fourth Proportional to 1,090.37, 1,635.96 and 505.66

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Solution

The fourth proportional to 1,090.37, 1,635.96 and 505.66 is: 758.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.37 : 1,635.96 = 505.66 : x
  2. Step 2: Convert to fraction form
    1,090.37/1,635.96 = 505.66/x
  3. Step 3: Cross multiply
    1,090.37x = 1,635.96 × 505.66
  4. Step 4: Simplify right side
    1,090.37x = 827,231.35
  5. Step 5: Solve for x
    x = 827,231.35/1,090.37
  6. Step 6: Final answer
    x = 758.67

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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.