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Finding the Fourth Proportional to 1,187.73, 1,639.17 and 656.73

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Solution

The fourth proportional to 1,187.73, 1,639.17 and 656.73 is: 906.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.73 : 1,639.17 = 656.73 : x
  2. Step 2: Convert to fraction form
    1,187.73/1,639.17 = 656.73/x
  3. Step 3: Cross multiply
    1,187.73x = 1,639.17 × 656.73
  4. Step 4: Simplify right side
    1,187.73x = 1,076,492.11
  5. Step 5: Solve for x
    x = 1,076,492.11/1,187.73
  6. Step 6: Final answer
    x = 906.34

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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.