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Finding the Fourth Proportional to 1,161.21, 1,740.92 and 380.74

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Solution

The fourth proportional to 1,161.21, 1,740.92 and 380.74 is: 570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.21 : 1,740.92 = 380.74 : x
  2. Step 2: Convert to fraction form
    1,161.21/1,740.92 = 380.74/x
  3. Step 3: Cross multiply
    1,161.21x = 1,740.92 × 380.74
  4. Step 4: Simplify right side
    1,161.21x = 662,837.88
  5. Step 5: Solve for x
    x = 662,837.88/1,161.21
  6. Step 6: Final answer
    x = 570.82

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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.