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Finding the Fourth Proportional to 1,124.45, 1,687.58 and 712.56

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Solution

The fourth proportional to 1,124.45, 1,687.58 and 712.56 is: 1,069.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.45 : 1,687.58 = 712.56 : x
  2. Step 2: Convert to fraction form
    1,124.45/1,687.58 = 712.56/x
  3. Step 3: Cross multiply
    1,124.45x = 1,687.58 × 712.56
  4. Step 4: Simplify right side
    1,124.45x = 1,202,498.44
  5. Step 5: Solve for x
    x = 1,202,498.44/1,124.45
  6. Step 6: Final answer
    x = 1,069.42

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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.