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Finding the Fourth Proportional to 1,122.96, 1,685.25 and 712.56

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Solution

The fourth proportional to 1,122.96, 1,685.25 and 712.56 is: 1,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.96 : 1,685.25 = 712.56 : x
  2. Step 2: Convert to fraction form
    1,122.96/1,685.25 = 712.56/x
  3. Step 3: Cross multiply
    1,122.96x = 1,685.25 × 712.56
  4. Step 4: Simplify right side
    1,122.96x = 1,200,841.74
  5. Step 5: Solve for x
    x = 1,200,841.74/1,122.96
  6. Step 6: Final answer
    x = 1,069.35

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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.