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Finding the Fourth Proportional to 1,395.54, 2,093.31 and 421.71

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Solution

The fourth proportional to 1,395.54, 2,093.31 and 421.71 is: 632.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.54 : 2,093.31 = 421.71 : x
  2. Step 2: Convert to fraction form
    1,395.54/2,093.31 = 421.71/x
  3. Step 3: Cross multiply
    1,395.54x = 2,093.31 × 421.71
  4. Step 4: Simplify right side
    1,395.54x = 882,759.29
  5. Step 5: Solve for x
    x = 882,759.29/1,395.54
  6. Step 6: Final answer
    x = 632.56

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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.