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Finding the Fourth Proportional to 1,185.17, 1,635.41 and 687.85

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Solution

The fourth proportional to 1,185.17, 1,635.41 and 687.85 is: 949.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.17 : 1,635.41 = 687.85 : x
  2. Step 2: Convert to fraction form
    1,185.17/1,635.41 = 687.85/x
  3. Step 3: Cross multiply
    1,185.17x = 1,635.41 × 687.85
  4. Step 4: Simplify right side
    1,185.17x = 1,124,914.40
  5. Step 5: Solve for x
    x = 1,124,914.40/1,185.17
  6. Step 6: Final answer
    x = 949.16

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1.5x scale

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.