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Finding the Fourth Proportional to 1,185.37, 1,635.75 and 688.03

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Solution

The fourth proportional to 1,185.37, 1,635.75 and 688.03 is: 949.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.37 : 1,635.75 = 688.03 : x
  2. Step 2: Convert to fraction form
    1,185.37/1,635.75 = 688.03/x
  3. Step 3: Cross multiply
    1,185.37x = 1,635.75 × 688.03
  4. Step 4: Simplify right side
    1,185.37x = 1,125,440.98
  5. Step 5: Solve for x
    x = 1,125,440.98/1,185.37
  6. Step 6: Final answer
    x = 949.44

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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.