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Finding the Fourth Proportional to 1,160.25, 1,601.15 and 694.50

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Solution

The fourth proportional to 1,160.25, 1,601.15 and 694.50 is: 958.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.25 : 1,601.15 = 694.50 : x
  2. Step 2: Convert to fraction form
    1,160.25/1,601.15 = 694.50/x
  3. Step 3: Cross multiply
    1,160.25x = 1,601.15 × 694.50
  4. Step 4: Simplify right side
    1,160.25x = 1,111,995.20
  5. Step 5: Solve for x
    x = 1,111,995.20/1,160.25
  6. Step 6: Final answer
    x = 958.41

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