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Finding the Fourth Proportional to 1,184.88, 1,634.67 and 687.43

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Solution

The fourth proportional to 1,184.88, 1,634.67 and 687.43 is: 948.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.88 : 1,634.67 = 687.43 : x
  2. Step 2: Convert to fraction form
    1,184.88/1,634.67 = 687.43/x
  3. Step 3: Cross multiply
    1,184.88x = 1,634.67 × 687.43
  4. Step 4: Simplify right side
    1,184.88x = 1,123,717.11
  5. Step 5: Solve for x
    x = 1,123,717.11/1,184.88
  6. Step 6: Final answer
    x = 948.38

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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.