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Finding the Fourth Proportional to 1,749.47, 2,624.20 and 709.27

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Solution

The fourth proportional to 1,749.47, 2,624.20 and 709.27 is: 1,063.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.47 : 2,624.20 = 709.27 : x
  2. Step 2: Convert to fraction form
    1,749.47/2,624.20 = 709.27/x
  3. Step 3: Cross multiply
    1,749.47x = 2,624.20 × 709.27
  4. Step 4: Simplify right side
    1,749.47x = 1,861,279.21
  5. Step 5: Solve for x
    x = 1,861,279.21/1,749.47
  6. Step 6: Final answer
    x = 1,063.91

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Similar ratio
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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.