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Finding the Fourth Proportional to 1,119.27, 1,677.73 and 425.51

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Solution

The fourth proportional to 1,119.27, 1,677.73 and 425.51 is: 637.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.27 : 1,677.73 = 425.51 : x
  2. Step 2: Convert to fraction form
    1,119.27/1,677.73 = 425.51/x
  3. Step 3: Cross multiply
    1,119.27x = 1,677.73 × 425.51
  4. Step 4: Simplify right side
    1,119.27x = 713,882.50
  5. Step 5: Solve for x
    x = 713,882.50/1,119.27
  6. Step 6: Final answer
    x = 637.81

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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.