Home / 1,161.28-1,742.61-467.86

Finding the Fourth Proportional to 1,161.28, 1,742.61 and 467.86

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Solution

The fourth proportional to 1,161.28, 1,742.61 and 467.86 is: 702.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.28 : 1,742.61 = 467.86 : x
  2. Step 2: Convert to fraction form
    1,161.28/1,742.61 = 467.86/x
  3. Step 3: Cross multiply
    1,161.28x = 1,742.61 × 467.86
  4. Step 4: Simplify right side
    1,161.28x = 815,297.51
  5. Step 5: Solve for x
    x = 815,297.51/1,161.28
  6. Step 6: Final answer
    x = 702.07

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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.