Home / 1,162.60-1,743.65-412.21

Finding the Fourth Proportional to 1,162.60, 1,743.65 and 412.21

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Solution

The fourth proportional to 1,162.60, 1,743.65 and 412.21 is: 618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.60 : 1,743.65 = 412.21 : x
  2. Step 2: Convert to fraction form
    1,162.60/1,743.65 = 412.21/x
  3. Step 3: Cross multiply
    1,162.60x = 1,743.65 × 412.21
  4. Step 4: Simplify right side
    1,162.60x = 718,747.91
  5. Step 5: Solve for x
    x = 718,747.91/1,162.60
  6. Step 6: Final answer
    x = 618.22

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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.