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Finding the Fourth Proportional to 1,187.71, 1,640.04 and 892.46

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Solution

The fourth proportional to 1,187.71, 1,640.04 and 892.46 is: 1,232.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.71 : 1,640.04 = 892.46 : x
  2. Step 2: Convert to fraction form
    1,187.71/1,640.04 = 892.46/x
  3. Step 3: Cross multiply
    1,187.71x = 1,640.04 × 892.46
  4. Step 4: Simplify right side
    1,187.71x = 1,463,670.10
  5. Step 5: Solve for x
    x = 1,463,670.10/1,187.71
  6. Step 6: Final answer
    x = 1,232.35

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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.