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Finding the Fourth Proportional to 1,723.38, 2,584.61 and 749.25

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Solution

The fourth proportional to 1,723.38, 2,584.61 and 749.25 is: 1,123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.38 : 2,584.61 = 749.25 : x
  2. Step 2: Convert to fraction form
    1,723.38/2,584.61 = 749.25/x
  3. Step 3: Cross multiply
    1,723.38x = 2,584.61 × 749.25
  4. Step 4: Simplify right side
    1,723.38x = 1,936,518.11
  5. Step 5: Solve for x
    x = 1,936,518.11/1,723.38
  6. Step 6: Final answer
    x = 1,123.68

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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.