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Finding the Fourth Proportional to 1,708.38, 2,563.38 and 734.76

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Solution

The fourth proportional to 1,708.38, 2,563.38 and 734.76 is: 1,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.38 : 2,563.38 = 734.76 : x
  2. Step 2: Convert to fraction form
    1,708.38/2,563.38 = 734.76/x
  3. Step 3: Cross multiply
    1,708.38x = 2,563.38 × 734.76
  4. Step 4: Simplify right side
    1,708.38x = 1,883,469.09
  5. Step 5: Solve for x
    x = 1,883,469.09/1,708.38
  6. Step 6: Final answer
    x = 1,102.49

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1.5x scale

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.