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Finding the Fourth Proportional to 1,161.69, 1,742.63 and 381.63

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Solution

The fourth proportional to 1,161.69, 1,742.63 and 381.63 is: 572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.69 : 1,742.63 = 381.63 : x
  2. Step 2: Convert to fraction form
    1,161.69/1,742.63 = 381.63/x
  3. Step 3: Cross multiply
    1,161.69x = 1,742.63 × 381.63
  4. Step 4: Simplify right side
    1,161.69x = 665,039.89
  5. Step 5: Solve for x
    x = 665,039.89/1,161.69
  6. Step 6: Final answer
    x = 572.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.