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Finding the Fourth Proportional to 1,188.74, 1,640.42 and 664.77

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Solution

The fourth proportional to 1,188.74, 1,640.42 and 664.77 is: 917.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.74 : 1,640.42 = 664.77 : x
  2. Step 2: Convert to fraction form
    1,188.74/1,640.42 = 664.77/x
  3. Step 3: Cross multiply
    1,188.74x = 1,640.42 × 664.77
  4. Step 4: Simplify right side
    1,188.74x = 1,090,502.00
  5. Step 5: Solve for x
    x = 1,090,502.00/1,188.74
  6. Step 6: Final answer
    x = 917.36

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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.