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Finding the Fourth Proportional to 1,751.73, 2,627.37 and 712.20

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Solution

The fourth proportional to 1,751.73, 2,627.37 and 712.20 is: 1,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.73 : 2,627.37 = 712.20 : x
  2. Step 2: Convert to fraction form
    1,751.73/2,627.37 = 712.20/x
  3. Step 3: Cross multiply
    1,751.73x = 2,627.37 × 712.20
  4. Step 4: Simplify right side
    1,751.73x = 1,871,212.91
  5. Step 5: Solve for x
    x = 1,871,212.91/1,751.73
  6. Step 6: Final answer
    x = 1,068.21

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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.