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Finding the Fourth Proportional to 1,090.38, 1,635.99 and 861.66

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Solution

The fourth proportional to 1,090.38, 1,635.99 and 861.66 is: 1,292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.38 : 1,635.99 = 861.66 : x
  2. Step 2: Convert to fraction form
    1,090.38/1,635.99 = 861.66/x
  3. Step 3: Cross multiply
    1,090.38x = 1,635.99 × 861.66
  4. Step 4: Simplify right side
    1,090.38x = 1,409,667.14
  5. Step 5: Solve for x
    x = 1,409,667.14/1,090.38
  6. Step 6: Final answer
    x = 1,292.82

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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.