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Finding the Fourth Proportional to 1,185.11, 1,635.44 and 654.00

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Solution

The fourth proportional to 1,185.11, 1,635.44 and 654.00 is: 902.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.11 : 1,635.44 = 654.00 : x
  2. Step 2: Convert to fraction form
    1,185.11/1,635.44 = 654.00/x
  3. Step 3: Cross multiply
    1,185.11x = 1,635.44 × 654.00
  4. Step 4: Simplify right side
    1,185.11x = 1,069,567.54
  5. Step 5: Solve for x
    x = 1,069,567.54/1,185.11
  6. Step 6: Final answer
    x = 902.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.