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Finding the Fourth Proportional to 1,161.47, 1,740.98 and 381.27

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Solution

The fourth proportional to 1,161.47, 1,740.98 and 381.27 is: 571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.47 : 1,740.98 = 381.27 : x
  2. Step 2: Convert to fraction form
    1,161.47/1,740.98 = 381.27/x
  3. Step 3: Cross multiply
    1,161.47x = 1,740.98 × 381.27
  4. Step 4: Simplify right side
    1,161.47x = 663,783.44
  5. Step 5: Solve for x
    x = 663,783.44/1,161.47
  6. Step 6: Final answer
    x = 571.50

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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.