Home / 1,161.62-1,742.25-339.72

Finding the Fourth Proportional to 1,161.62, 1,742.25 and 339.72

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Solution

The fourth proportional to 1,161.62, 1,742.25 and 339.72 is: 509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.62 : 1,742.25 = 339.72 : x
  2. Step 2: Convert to fraction form
    1,161.62/1,742.25 = 339.72/x
  3. Step 3: Cross multiply
    1,161.62x = 1,742.25 × 339.72
  4. Step 4: Simplify right side
    1,161.62x = 591,877.17
  5. Step 5: Solve for x
    x = 591,877.17/1,161.62
  6. Step 6: Final answer
    x = 509.53

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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.