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Finding the Fourth Proportional to 1,188.57, 1,640.27 and 664.57

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Solution

The fourth proportional to 1,188.57, 1,640.27 and 664.57 is: 917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.57 : 1,640.27 = 664.57 : x
  2. Step 2: Convert to fraction form
    1,188.57/1,640.27 = 664.57/x
  3. Step 3: Cross multiply
    1,188.57x = 1,640.27 × 664.57
  4. Step 4: Simplify right side
    1,188.57x = 1,090,074.23
  5. Step 5: Solve for x
    x = 1,090,074.23/1,188.57
  6. Step 6: Final answer
    x = 917.13

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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.