Home / 1,187.46-1,781.37-407.38

Finding the Fourth Proportional to 1,187.46, 1,781.37 and 407.38

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Solution

The fourth proportional to 1,187.46, 1,781.37 and 407.38 is: 611.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.46 : 1,781.37 = 407.38 : x
  2. Step 2: Convert to fraction form
    1,187.46/1,781.37 = 407.38/x
  3. Step 3: Cross multiply
    1,187.46x = 1,781.37 × 407.38
  4. Step 4: Simplify right side
    1,187.46x = 725,694.51
  5. Step 5: Solve for x
    x = 725,694.51/1,187.46
  6. Step 6: Final answer
    x = 611.13

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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.