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Finding the Fourth Proportional to 1,187.80, 1,640.25 and 892.55

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Solution

The fourth proportional to 1,187.80, 1,640.25 and 892.55 is: 1,232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.80 : 1,640.25 = 892.55 : x
  2. Step 2: Convert to fraction form
    1,187.80/1,640.25 = 892.55/x
  3. Step 3: Cross multiply
    1,187.80x = 1,640.25 × 892.55
  4. Step 4: Simplify right side
    1,187.80x = 1,464,009.24
  5. Step 5: Solve for x
    x = 1,464,009.24/1,187.80
  6. Step 6: Final answer
    x = 1,232.54

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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.