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Finding the Fourth Proportional to 1,188.53, 1,640.01 and 716.43

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Solution

The fourth proportional to 1,188.53, 1,640.01 and 716.43 is: 988.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.53 : 1,640.01 = 716.43 : x
  2. Step 2: Convert to fraction form
    1,188.53/1,640.01 = 716.43/x
  3. Step 3: Cross multiply
    1,188.53x = 1,640.01 × 716.43
  4. Step 4: Simplify right side
    1,188.53x = 1,174,944.16
  5. Step 5: Solve for x
    x = 1,174,944.16/1,188.53
  6. Step 6: Final answer
    x = 988.57

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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.