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Finding the Fourth Proportional to 1,161.40, 1,742.08 and 391.88

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Solution

The fourth proportional to 1,161.40, 1,742.08 and 391.88 is: 587.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.40 : 1,742.08 = 391.88 : x
  2. Step 2: Convert to fraction form
    1,161.40/1,742.08 = 391.88/x
  3. Step 3: Cross multiply
    1,161.40x = 1,742.08 × 391.88
  4. Step 4: Simplify right side
    1,161.40x = 682,686.31
  5. Step 5: Solve for x
    x = 682,686.31/1,161.40
  6. Step 6: Final answer
    x = 587.81

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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.