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Finding the Fourth Proportional to 1,183.44, 1,632.99 and 686.05

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Solution

The fourth proportional to 1,183.44, 1,632.99 and 686.05 is: 946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.44 : 1,632.99 = 686.05 : x
  2. Step 2: Convert to fraction form
    1,183.44/1,632.99 = 686.05/x
  3. Step 3: Cross multiply
    1,183.44x = 1,632.99 × 686.05
  4. Step 4: Simplify right side
    1,183.44x = 1,120,312.79
  5. Step 5: Solve for x
    x = 1,120,312.79/1,183.44
  6. Step 6: Final answer
    x = 946.66

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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.