Home / 1,138.14-1,707.36-407.62

Finding the Fourth Proportional to 1,138.14, 1,707.36 and 407.62

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Solution

The fourth proportional to 1,138.14, 1,707.36 and 407.62 is: 611.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.14 : 1,707.36 = 407.62 : x
  2. Step 2: Convert to fraction form
    1,138.14/1,707.36 = 407.62/x
  3. Step 3: Cross multiply
    1,138.14x = 1,707.36 × 407.62
  4. Step 4: Simplify right side
    1,138.14x = 695,954.08
  5. Step 5: Solve for x
    x = 695,954.08/1,138.14
  6. Step 6: Final answer
    x = 611.48

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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.