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Finding the Fourth Proportional to 1,183.94, 1,633.74 and 686.42

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Solution

The fourth proportional to 1,183.94, 1,633.74 and 686.42 is: 947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.94 : 1,633.74 = 686.42 : x
  2. Step 2: Convert to fraction form
    1,183.94/1,633.74 = 686.42/x
  3. Step 3: Cross multiply
    1,183.94x = 1,633.74 × 686.42
  4. Step 4: Simplify right side
    1,183.94x = 1,121,431.81
  5. Step 5: Solve for x
    x = 1,121,431.81/1,183.94
  6. Step 6: Final answer
    x = 947.20

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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.