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Finding the Fourth Proportional to 1,493.63, 2,238.90 and 712.28

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Solution

The fourth proportional to 1,493.63, 2,238.90 and 712.28 is: 1,067.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.63 : 2,238.90 = 712.28 : x
  2. Step 2: Convert to fraction form
    1,493.63/2,238.90 = 712.28/x
  3. Step 3: Cross multiply
    1,493.63x = 2,238.90 × 712.28
  4. Step 4: Simplify right side
    1,493.63x = 1,594,712.50
  5. Step 5: Solve for x
    x = 1,594,712.50/1,493.63
  6. Step 6: Final answer
    x = 1,067.68

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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.