Home / 1,138.15-1,707.23-407.56

Finding the Fourth Proportional to 1,138.15, 1,707.23 and 407.56

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Solution

The fourth proportional to 1,138.15, 1,707.23 and 407.56 is: 611.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.15 : 1,707.23 = 407.56 : x
  2. Step 2: Convert to fraction form
    1,138.15/1,707.23 = 407.56/x
  3. Step 3: Cross multiply
    1,138.15x = 1,707.23 × 407.56
  4. Step 4: Simplify right side
    1,138.15x = 695,791.52
  5. Step 5: Solve for x
    x = 695,791.52/1,138.15
  6. Step 6: Final answer
    x = 611.33

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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.